%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG146+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 : n026.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 18:05:42 EDT 2022 % Result : Unsatisfiable 4.93s 5.18s % Output : Proof 5.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.01/0.12 % Problem : ALG146+1 : TPTP v8.1.0. Released v2.7.0. % 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n026.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jun 8 00:46:31 EDT 2022 % 0.12/0.33 % CPUTime : % 4.93/5.18 % SZS status Theorem % 4.93/5.18 (* PROOF-FOUND *) % 4.93/5.18 (* BEGIN-PROOF *) % 4.93/5.18 % SZS output start Proof % 4.93/5.18 1. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 4.93/5.18 2. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) = (e0)) ### ConjTree 1 % 4.93/5.18 3. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 4.93/5.18 4. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 4.93/5.18 5. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 4.93/5.18 6. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) = (e0)) ### TransEq 3 4 5 % 4.93/5.18 7. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 4.93/5.18 8. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 4.93/5.18 9. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 4.93/5.18 10. (((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)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 6 7 8 9 % 4.93/5.18 11. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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))))) ### ConjTree 10 % 4.93/5.18 12. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 4.93/5.18 13. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 4.93/5.18 14. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 4.93/5.18 15. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq 12 13 14 % 4.93/5.18 16. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 15 % 4.93/5.18 17. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 4.93/5.18 18. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 4.93/5.18 19. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 4.93/5.18 20. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) = (e0)) ### TransEq 17 18 19 % 4.93/5.18 21. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### ConjTree 20 % 4.93/5.18 22. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 4.93/5.18 23. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) = (e0)) ### ConjTree 22 % 4.93/5.18 24. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 4.93/5.18 25. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) ((op (e1) (e1)) != (e1)) ### ConjTree 24 % 4.93/5.18 26. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 4.93/5.18 27. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 4.93/5.18 28. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 4.93/5.18 29. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 4.93/5.18 30. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) = (e1)) ### TransEq 27 28 29 % 4.93/5.18 31. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 4.93/5.18 32. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 4.93/5.18 33. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 26 30 31 32 % 4.93/5.18 34. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 4.93/5.18 35. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 4.93/5.18 36. ((op (e0) (e3)) = (e0)) ((e0) != (op (e0) (e3))) ### Sym(=) % 4.93/5.18 37. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e3)) = (e0)) ### TransEq 34 35 36 % 4.93/5.18 38. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 4.93/5.18 39. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 4.93/5.18 40. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 4.93/5.18 41. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e0)) ((op (e3) (e3)) = (e0)) ### TransEq 38 39 40 % 4.93/5.18 42. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 4.93/5.18 43. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 4.93/5.18 44. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 4.93/5.18 45. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ### DisjTree 41 42 43 44 % 4.93/5.18 46. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 4.93/5.18 47. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 4.93/5.18 48. ((e2) != (e2)) ### NotEqual % 4.93/5.18 49. ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e0)) ### TransEq 46 47 48 % 4.93/5.18 50. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 4.93/5.18 51. (((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)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (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 (e0) (e3))) ### DisjTree 37 45 49 50 % 4.93/5.18 52. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 4.93/5.18 53. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) ### ConjTree 52 % 4.93/5.18 54. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 4.93/5.18 55. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 4.93/5.18 56. ((e0) != (e0)) ### NotEqual % 4.93/5.18 57. ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 54 55 56 % 4.93/5.18 58. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 4.93/5.18 59. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 4.93/5.18 60. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 4.93/5.18 61. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 59 60 56 % 4.93/5.18 62. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 4.93/5.18 63. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 4.93/5.18 64. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 4.93/5.18 65. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq 62 63 64 % 4.93/5.18 66. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 4.93/5.18 67. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 4.93/5.18 68. ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) = (e0)) ### TransEq 66 67 48 % 4.93/5.18 69. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 4.93/5.18 70. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 4.93/5.18 71. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 4.93/5.18 72. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 4.93/5.18 73. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 4.93/5.18 74. ((op (op (e2) (e2)) (op (e2) (e2))) != (op (e1) (e1))) ((op (e2) (e2)) = (e1)) ### NotEqual 72 73 % 4.93/5.18 75. ((e3) != (e3)) ### NotEqual % 4.93/5.18 76. ((e3) != (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e1) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans-sym 74 75 % 4.93/5.18 77. ((op (op (e2) (e2)) (op (e2) (e2))) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans 74 75 % 4.93/5.18 78. ((op (op (op (e2) (e2)) (op (e2) (e2))) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e1) (e1)) = (e3)) ### NotEqual 77 48 % 4.93/5.18 79. ((e0) != (op (op (op (e2) (e2)) (op (e2) (e2))) (e2))) ((op (e3) (e2)) = (e0)) ((op (e1) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans-sym 78 56 % 4.93/5.18 80. (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e2)) = (e0)) ((op (e1) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) ### DisjTree 71 76 79 % 4.93/5.18 81. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 4.93/5.18 82. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 4.93/5.18 83. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) = (e3)) ((op (e3) (e2)) = (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ### DisjTree 70 80 81 82 % 4.93/5.18 84. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 65 68 69 83 % 4.93/5.18 85. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 4.93/5.18 86. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 4.93/5.18 87. ((e2) != (e3)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 85 86 48 % 4.93/5.18 88. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 4.93/5.18 89. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 4.93/5.18 90. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 4.93/5.18 91. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 88 89 90 % 4.93/5.18 92. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e2) (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)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 61 84 87 91 % 4.93/5.18 93. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 4.93/5.18 94. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 4.93/5.18 95. ((e1) != (e1)) ### NotEqual % 4.93/5.18 96. ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 93 94 95 % 4.93/5.18 97. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 57 58 92 96 % 4.93/5.18 98. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e2) (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)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### ConjTree 97 % 4.93/5.18 99. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 65 % 4.93/5.18 100. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom % 4.93/5.18 101. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e3) (e3)) = (e3)) ### ConjTree 100 % 4.93/5.18 102. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 4.93/5.18 103. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 4.93/5.18 104. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=) % 4.93/5.18 105. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e3)) = (e1)) ### TransEq 102 103 104 % 4.93/5.18 106. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 105 % 4.93/5.18 107. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 4.93/5.18 108. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 4.93/5.18 109. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 4.93/5.18 110. ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 108 109 95 % 4.93/5.18 111. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 61 107 110 91 % 4.93/5.18 112. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((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))))) ### ConjTree 111 % 4.93/5.18 113. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 4.93/5.18 114. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 4.93/5.18 115. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=) % 4.93/5.18 116. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq 113 114 115 % 4.93/5.18 117. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 116 % 4.93/5.18 118. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 4.93/5.18 119. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 4.93/5.18 120. ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 118 119 56 % 4.93/5.18 121. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 4.93/5.18 122. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 4.93/5.18 123. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 4.93/5.18 124. ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 122 123 95 % 4.93/5.18 125. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 4.93/5.18 126. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 4.93/5.18 127. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=) % 4.93/5.18 128. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) = (e3)) ### TransEq-sym 125 126 127 % 4.93/5.18 129. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 120 121 124 128 % 4.93/5.18 130. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 129 % 4.93/5.18 131. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom % 4.93/5.18 132. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e3) (e3)) = (e3)) ### ConjTree 131 % 4.93/5.18 133. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 4.93/5.18 134. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 4.93/5.18 135. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 4.93/5.18 136. ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 134 135 48 % 4.93/5.18 137. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 4.93/5.18 138. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 4.93/5.18 139. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 4.93/5.18 140. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 137 138 139 % 4.93/5.18 141. (((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 133 120 136 140 % 4.93/5.18 142. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((e2) != (e3)) ((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))))) ### ConjTree 141 % 4.93/5.18 143. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 4.93/5.18 144. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 4.93/5.18 145. ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e2)) ### TransEq-sym 143 144 95 % 4.93/5.18 146. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ### ConjTree 145 % 4.93/5.18 147. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 4.93/5.18 148. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) ((op (e2) (e2)) != (e2)) ### ConjTree 147 % 4.93/5.18 149. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom % 4.93/5.18 150. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e3) (e3)) = (e3)) ### ConjTree 149 % 4.93/5.18 151. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ### ConjTree 140 % 4.93/5.18 152. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ### ConjTree 91 % 4.93/5.18 153. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 4.93/5.18 154. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 4.93/5.18 155. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 4.93/5.18 156. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq-sym 153 154 155 % 4.93/5.18 157. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ### ConjTree 156 % 4.93/5.18 158. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom % 4.93/5.18 159. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))) ((op (e3) (e3)) = (e3)) ### ConjTree 158 % 4.93/5.18 160. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (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))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((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)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((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 (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 112 99 101 117 25 130 132 142 146 148 150 151 152 157 159 % 4.93/5.18 161. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom % 4.93/5.18 162. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((op (e2) (e2)) = (e2)) ### ConjTree 161 % 4.93/5.18 163. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom % 4.93/5.18 164. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((op (e2) (e2)) = (e2)) ### ConjTree 163 % 4.93/5.18 165. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 4.93/5.18 166. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 4.93/5.18 167. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 4.93/5.18 168. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e2)) ### TransEq 165 166 167 % 4.93/5.18 169. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 168 % 4.93/5.18 170. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom % 4.93/5.18 171. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) ((op (e2) (e2)) = (e2)) ### ConjTree 170 % 4.93/5.18 172. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom % 4.93/5.18 173. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e2) (e2)) = (e2)) ### ConjTree 172 % 4.93/5.18 174. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((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)) = (e0)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 112 162 101 117 25 164 132 142 169 171 150 151 152 173 159 % 4.93/5.18 175. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((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)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e2) != (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 160 174 % 4.93/5.18 176. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 4.93/5.18 177. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 4.93/5.18 178. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=) % 4.93/5.18 179. ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) = (e1)) ### TransEq 176 177 178 % 4.93/5.18 180. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((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) (e0)) != (e3)) (((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)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((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 (e1) (e2)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 175 179 % 5.01/5.18 181. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e2) != (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### ConjTree 180 % 5.01/5.18 182. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.01/5.18 183. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 5.01/5.18 184. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 5.01/5.18 185. ((op (e0) (e3)) = (e0)) ((e0) != (op (e0) (e3))) ### Sym(=) % 5.01/5.18 186. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e3)) = (e0)) ### TransEq 183 184 185 % 5.01/5.18 187. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 5.01/5.18 188. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 5.01/5.18 189. ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e0)) ### TransEq 187 188 95 % 5.01/5.18 190. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 5.01/5.18 191. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 5.01/5.18 192. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 5.01/5.18 193. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 190 191 192 % 5.01/5.18 194. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 5.01/5.18 195. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 186 189 193 194 % 5.01/5.18 196. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 5.01/5.18 197. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 5.01/5.18 198. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 5.01/5.18 199. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 5.01/5.18 200. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 197 198 199 % 5.01/5.18 201. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 65 68 196 200 % 5.01/5.18 202. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e0)) ### DisjTree 182 92 195 201 % 5.01/5.18 203. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (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)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 202 % 5.01/5.18 204. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 98 99 101 106 25 181 132 142 203 148 150 151 152 157 159 % 5.01/5.18 205. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 5.01/5.18 206. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 5.01/5.18 207. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 5.01/5.18 208. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 205 206 207 % 5.01/5.18 209. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e2) (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)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 204 208 % 5.01/5.18 210. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 5.01/5.18 211. (((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) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 186 189 49 210 % 5.01/5.18 212. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### Or 211 208 % 5.01/5.18 213. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 209 212 % 5.01/5.18 214. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.01/5.18 215. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 5.01/5.18 216. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 5.01/5.18 217. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 5.01/5.18 218. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq-sym 215 216 217 % 5.01/5.18 219. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 57 214 218 96 % 5.01/5.18 220. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### ConjTree 219 % 5.01/5.18 221. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 220 99 101 106 25 164 132 142 169 171 150 151 152 157 159 % 5.01/5.18 222. ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e2) (e2)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 213 221 % 5.01/5.18 223. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.01/5.18 224. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 5.01/5.18 225. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 5.01/5.18 226. ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 224 225 48 % 5.01/5.18 227. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 223 61 226 208 % 5.01/5.18 228. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### ConjTree 227 % 5.01/5.18 229. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 5.01/5.18 230. (((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 (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 226 124 229 156 % 5.01/5.18 231. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) ((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))))) ### ConjTree 230 % 5.01/5.18 232. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 5.01/5.18 233. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 5.01/5.18 234. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=) % 5.01/5.18 235. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) = (e2)) ### TransEq 232 233 234 % 5.01/5.18 236. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 235 % 5.01/5.18 237. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 228 99 101 106 25 231 132 142 236 148 150 151 152 157 159 % 5.01/5.18 238. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 5.01/5.18 239. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 5.01/5.18 240. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=) % 5.01/5.18 241. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e3)) = (e2)) ### TransEq 238 239 240 % 5.01/5.18 242. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((e1) != (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) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 237 241 % 5.01/5.18 243. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 5.01/5.18 244. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 5.01/5.18 245. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 5.01/5.18 246. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) = (e2)) ### TransEq 243 244 245 % 5.01/5.18 247. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 242 246 % 5.01/5.18 248. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ### Or 222 247 % 5.01/5.18 249. ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### Or 10 248 % 5.01/5.18 250. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ### Or 249 180 % 5.01/5.18 251. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom % 5.01/5.18 252. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) ((op (e1) (e1)) = (e1)) ### ConjTree 251 % 5.01/5.18 253. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 5.01/5.18 254. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 5.01/5.18 255. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 5.01/5.18 256. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq 253 254 255 % 5.01/5.18 257. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 256 % 5.01/5.18 258. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom % 5.01/5.18 259. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) ((op (e1) (e1)) = (e1)) ### ConjTree 258 % 5.01/5.18 260. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 5.01/5.18 261. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 5.01/5.18 262. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 5.01/5.18 263. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq 260 261 262 % 5.01/5.18 264. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ### ConjTree 263 % 5.01/5.18 265. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom % 5.01/5.18 266. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e1) (e1)) = (e1)) ### ConjTree 265 % 5.01/5.18 267. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom % 5.01/5.18 268. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e1) (e1)) = (e1)) ### ConjTree 267 % 5.01/5.18 269. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 99 101 257 259 264 132 142 266 148 150 151 268 157 159 % 5.01/5.18 270. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((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)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e3)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 162 101 257 259 164 132 142 169 171 150 151 152 173 159 % 5.01/5.18 271. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 269 270 % 5.01/5.19 272. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 250 271 % 5.01/5.19 273. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ### Or 272 186 % 5.02/5.19 274. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ### ConjTree 273 % 5.02/5.19 275. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 5.02/5.19 276. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 5.02/5.19 277. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 5.02/5.19 278. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) = (e0)) ### TransEq 275 276 277 % 5.02/5.19 279. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.02/5.19 280. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 5.02/5.19 281. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 5.02/5.19 282. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 278 279 280 281 % 5.02/5.19 283. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.02/5.19 284. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 5.02/5.19 285. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 5.02/5.19 286. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 284 285 95 % 5.02/5.19 287. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 5.02/5.19 288. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 5.02/5.19 289. ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 287 288 56 % 5.02/5.19 290. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 283 286 289 208 % 5.02/5.19 291. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### ConjTree 290 % 5.02/5.19 292. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.02/5.19 293. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 5.02/5.19 294. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 5.02/5.19 295. ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 293 294 95 % 5.02/5.19 296. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 5.02/5.19 297. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 5.02/5.19 298. ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 296 297 56 % 5.02/5.19 299. (((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 292 295 298 140 % 5.02/5.19 300. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((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))))) ### ConjTree 299 % 5.02/5.19 301. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 116 % 5.02/5.19 302. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 282 241 % 5.02/5.19 303. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (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) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 302 246 % 5.02/5.19 304. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### ConjTree 303 % 5.02/5.19 305. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.02/5.19 306. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 286 305 87 91 % 5.02/5.19 307. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 306 % 5.02/5.19 308. ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 291 101 300 25 301 132 304 307 148 150 151 152 157 159 % 5.02/5.19 309. ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 162 101 300 25 164 132 304 169 171 150 151 152 173 159 % 5.02/5.19 310. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e3)) ### Or 308 309 % 5.02/5.19 311. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 5.02/5.19 312. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 5.02/5.19 313. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 5.02/5.19 314. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) ((op (e3) (e0)) = (e0)) ### TransEq 311 312 313 % 5.02/5.19 315. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 5.02/5.19 316. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 5.02/5.19 317. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 5.02/5.19 318. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 315 316 317 % 5.02/5.19 319. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 5.02/5.19 320. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 314 318 83 319 % 5.02/5.19 321. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 5.02/5.19 322. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 5.02/5.19 323. ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 321 322 48 % 5.02/5.19 324. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) ((op (e0) (e1)) != (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) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 120 320 323 128 % 5.02/5.19 325. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 324 % 5.02/5.19 326. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 235 % 5.02/5.19 327. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) (((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)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (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) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 325 291 101 300 25 301 132 326 307 148 150 151 152 157 159 % 5.02/5.19 328. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (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)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 327 208 % 5.02/5.19 329. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 5.02/5.19 330. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 5.02/5.19 331. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=) % 5.02/5.19 332. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e3)) = (e2)) ### TransEq 329 330 331 % 5.02/5.19 333. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) (((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)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 328 332 % 5.02/5.19 334. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (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)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 333 168 % 5.02/5.19 335. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 310 334 % 5.02/5.19 336. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 303 235 % 5.02/5.19 337. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### Or 335 336 % 5.02/5.19 338. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 337 105 % 5.02/5.19 339. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.02/5.19 340. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 5.02/5.19 341. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 5.02/5.19 342. ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) = (e1)) ### TransEq-sym 340 341 56 % 5.02/5.19 343. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.02/5.19 344. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.02/5.19 345. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.02/5.19 346. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 5.02/5.19 347. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 5.02/5.19 348. ((e0) != (e1)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ### TransEq 346 347 95 % 5.02/5.19 349. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.02/5.19 350. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.02/5.19 351. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 5.02/5.19 352. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 5.02/5.19 353. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 5.02/5.19 354. ((op (op (e1) (e1)) (op (e1) (e1))) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ### NotEqual 352 353 % 5.02/5.19 355. ((e3) != (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 354 75 % 5.02/5.19 356. ((op (op (e1) (e1)) (op (e1) (e1))) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans 354 75 % 5.02/5.19 357. ((op (op (op (e1) (e1)) (op (e1) (e1))) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ### NotEqual 356 95 % 5.02/5.19 358. ((e0) != (op (op (op (e1) (e1)) (op (e1) (e1))) (e1))) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 357 56 % 5.02/5.19 359. (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### DisjTree 351 355 358 % 5.02/5.19 360. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.02/5.19 361. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) ### DisjTree 349 350 359 360 % 5.02/5.19 362. (((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 (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e0)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 289 124 361 156 % 5.02/5.19 363. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e1) != (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))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e1)) ((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 (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 120 345 348 362 % 5.02/5.19 364. (((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)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e1)) (((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 (e1) (e1)) != (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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))))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e3)) ### DisjTree 344 363 298 140 % 5.02/5.19 365. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.02/5.19 366. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 5.02/5.19 367. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 5.02/5.19 368. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 5.02/5.19 369. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 366 367 368 % 5.02/5.19 370. (((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)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((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)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e2) != (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### DisjTree 180 365 348 369 % 5.02/5.19 371. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) (((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))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (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) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((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) (e0)) != (e0)) ### DisjTree 343 111 364 370 % 5.02/5.19 372. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.02/5.19 373. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 5.02/5.19 374. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 5.02/5.19 375. ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e1)) ### TransEq 373 374 48 % 5.02/5.19 376. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (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 (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (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)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e0) (e0)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 342 371 372 375 % 5.02/5.19 377. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) (((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))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((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))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((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) (e0)) != (e0)) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### ConjTree 376 % 5.02/5.19 378. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.02/5.19 379. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 5.02/5.19 380. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 5.02/5.19 381. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 5.02/5.19 382. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 5.02/5.19 383. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) = (e1)) ### TransEq 380 381 382 % 5.02/5.19 384. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 5.02/5.19 385. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 5.02/5.19 386. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 379 383 384 385 % 5.02/5.19 387. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 5.02/5.19 388. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 5.02/5.19 389. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 5.02/5.19 390. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 387 388 389 % 5.02/5.19 391. (((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) (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)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((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))))) ((op (e0) (e0)) != (e1)) ### DisjTree 378 299 386 390 % 5.02/5.19 392. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 5.02/5.19 393. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 5.02/5.19 394. ((op (e0) (e3)) = (e0)) ((e0) != (op (e0) (e3))) ### Sym(=) % 5.02/5.19 395. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) = (e0)) ### TransEq 392 393 394 % 5.02/5.19 396. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 5.02/5.19 397. (((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) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 395 189 49 396 % 5.02/5.19 398. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### Or 397 208 % 5.02/5.19 399. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (e1)) (((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)) ((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)) != (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))))) ### Or 391 398 % 5.02/5.19 400. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (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 (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((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))))) ((op (e0) (e0)) != (e1)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 399 309 % 5.02/5.19 401. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (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) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### DisjTree 338 339 377 400 % 5.02/5.19 402. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (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))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (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)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e0) (e0)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 371 % 5.02/5.19 403. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 332 % 5.02/5.19 404. ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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 (e2) (e2)) != (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 401 101 300 25 402 132 304 403 148 150 151 152 157 159 % 5.02/5.20 405. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (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)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (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) (e1)) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 282 404 % 5.02/5.20 406. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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 (e2) (e2)) != (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 405 309 % 5.02/5.20 407. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 5.02/5.20 408. (((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 (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 289 323 407 156 % 5.02/5.20 409. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((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))))) ### ConjTree 408 % 5.02/5.20 410. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 33 332 % 5.02/5.20 411. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### ConjTree 410 % 5.02/5.20 412. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.02/5.20 413. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.02/5.20 414. (((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)) = (e2)) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### DisjTree 338 413 145 390 % 5.02/5.20 415. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ((op (e1) (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) (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)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((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))))) ((op (e0) (e0)) != (e1)) ### DisjTree 412 299 386 414 % 5.02/5.20 416. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 415 % 5.02/5.20 417. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((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 (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) (((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)) ((e1) != (e3)) ((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (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) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 325 409 101 300 25 411 132 326 416 148 150 151 152 157 159 % 5.02/5.20 418. ((op (e0) (e0)) != (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (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) != (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)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((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) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 417 208 % 5.02/5.20 419. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((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 (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) (((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)) ((e1) != (e3)) ((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### Or 418 332 % 5.02/5.20 420. ((op (e0) (e0)) != (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (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) != (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)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((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) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 419 168 % 5.02/5.20 421. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (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)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (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) (e1)) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 406 420 % 5.02/5.20 422. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 421 336 % 5.02/5.20 423. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e0)) != (e1)) (((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)) ((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)) != (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))))) ### Or 391 332 % 5.02/5.20 424. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((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) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((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))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 423 168 % 5.02/5.20 425. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (e1)) (((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)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((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))))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((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)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 400 424 % 5.02/5.20 426. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (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) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((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))))) ((op (e0) (e0)) != (e1)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### Or 425 336 % 5.02/5.20 427. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (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) (e1)) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 422 426 % 5.03/5.20 428. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.03/5.20 429. (((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) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 342 263 428 375 % 5.03/5.20 430. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### ConjTree 429 % 5.03/5.20 431. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (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 (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e3)) = (e3)) (((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)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 430 101 257 259 264 132 304 266 148 150 151 268 157 159 % 5.03/5.20 432. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 282 431 % 5.03/5.20 433. ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 162 101 300 259 164 132 304 169 171 150 151 152 173 159 % 5.03/5.20 434. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((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 (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### Or 432 433 % 5.03/5.20 435. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (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) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 325 409 101 257 259 411 132 326 266 148 150 151 268 157 159 % 5.03/5.20 436. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 435 208 % 5.03/5.20 437. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 436 332 % 5.03/5.20 438. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 437 168 % 5.03/5.20 439. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((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 (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ### Or 434 438 % 5.03/5.20 440. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((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 (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### Or 439 336 % 5.03/5.21 441. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 427 440 % 5.03/5.21 442. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### Or 338 256 % 5.03/5.21 443. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (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 (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 441 442 % 5.03/5.21 444. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ### Or 443 395 % 5.03/5.21 445. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### ConjTree 444 % 5.03/5.21 446. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.03/5.21 447. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 5.03/5.21 448. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 5.03/5.21 449. ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) ### TransEq-sym 447 448 56 % 5.03/5.21 450. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.03/5.21 451. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 5.03/5.21 452. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 5.03/5.21 453. ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 451 452 95 % 5.03/5.21 454. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.03/5.21 455. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 5.03/5.21 456. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 5.03/5.21 457. ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) = (e1)) ### TransEq 455 456 48 % 5.03/5.21 458. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.03/5.21 459. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 5.03/5.21 460. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 5.03/5.21 461. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 5.03/5.21 462. ((op (op (e2) (e2)) (op (e2) (e2))) != (op (e0) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 460 461 % 5.03/5.21 463. ((e3) != (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans-sym 462 75 % 5.03/5.21 464. ((op (op (e2) (e2)) (op (e2) (e2))) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans 462 75 % 5.03/5.21 465. ((op (op (op (e2) (e2)) (op (e2) (e2))) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) = (e3)) ### NotEqual 464 48 % 5.03/5.21 466. ((e1) != (op (op (op (e2) (e2)) (op (e2) (e2))) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans-sym 465 95 % 5.03/5.21 467. (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e2)) = (e1)) ((op (e0) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) ### DisjTree 459 463 466 % 5.03/5.21 468. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.03/5.21 469. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 5.03/5.21 470. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 5.03/5.21 471. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) = (e3)) ((op (e3) (e2)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ### DisjTree 467 468 469 470 % 5.03/5.21 472. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 457 116 458 471 % 5.03/5.21 473. (((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))) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (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)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 472 295 136 140 % 5.03/5.21 474. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 5.03/5.21 475. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 5.03/5.21 476. ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 474 475 56 % 5.03/5.21 477. (((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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((e1) != (e3)) ((e2) != (e3)) ((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))))) ((op (e0) (e0)) != (e1)) ### DisjTree 454 473 457 476 % 5.03/5.21 478. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 5.03/5.21 479. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 5.03/5.21 480. ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 478 479 56 % 5.03/5.21 481. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (e1)) (((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))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (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)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 450 453 477 480 % 5.03/5.21 482. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((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))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((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))))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 446 449 299 481 % 5.03/5.21 483. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) ((e0) != (e1)) (((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))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (e1)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (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)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 482 % 5.03/5.21 484. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.03/5.21 485. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.03/5.21 486. (((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) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ### DisjTree 476 106 375 485 % 5.03/5.21 487. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e1) (e0)) != (op (e1) (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))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((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))))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 484 449 299 486 % 5.03/5.21 488. ((op (e0) (e0)) != (e0)) ((e0) != (e1)) (((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))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (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)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 487 % 5.03/5.21 489. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.03/5.21 490. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.03/5.21 491. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.03/5.21 492. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.03/5.21 493. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.03/5.21 494. (((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)) ((e0) != (e3)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) ((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 (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 342 362 493 375 % 5.03/5.21 495. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) = (e0)) (((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 (e1) (e1)) != (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 449 492 348 494 % 5.03/5.21 496. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.03/5.21 497. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.03/5.21 498. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.03/5.21 499. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 5.03/5.21 500. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 5.03/5.21 501. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 5.03/5.21 502. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e2)) ### TransEq 499 500 501 % 5.03/5.21 503. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.03/5.21 504. (((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 (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) ### DisjTree 497 498 502 503 % 5.03/5.21 505. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 5.03/5.21 506. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 5.03/5.21 507. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 5.03/5.21 508. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 505 506 507 % 5.03/5.21 509. (((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))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (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 (e0) (e0)) != (e2)) ### DisjTree 496 504 457 508 % 5.03/5.21 510. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (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))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) = (e1)) (((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)) ((e0) != (e3)) ((e1) != (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))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e1)) ((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 (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 491 495 509 476 % 5.03/5.21 511. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.03/5.21 512. (((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)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 186 511 348 369 % 5.03/5.21 513. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((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 (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (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 (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((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) (e0)) != (e0)) ### DisjTree 490 111 510 512 % 5.03/5.21 514. (((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 (e0) (e0)) != (e2)) ((op (e0) (e1)) != (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (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 (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e0) (e0)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) ((e1) != (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e0)) ### DisjTree 489 129 371 513 % 5.03/5.21 515. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) (((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))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (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) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) (((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 514 % 5.03/5.21 516. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 112 445 101 488 25 515 132 516 403 148 150 151 152 157 159 % 5.03/5.21 518. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ### Or 517 128 % 5.03/5.21 519. ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 33 518 % 5.03/5.21 520. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ### ConjTree 519 % 5.04/5.21 521. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.04/5.21 522. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 5.04/5.21 523. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 5.04/5.21 524. ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 522 523 56 % 5.04/5.21 525. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.04/5.21 526. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.04/5.21 527. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.04/5.21 528. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 457 110 527 471 % 5.04/5.21 529. (((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))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) ((op (e2) (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)) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 61 526 528 91 % 5.04/5.21 530. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.04/5.21 531. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 5.04/5.21 532. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 5.04/5.21 533. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 5.04/5.21 534. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e0)) ### TransEq 531 532 533 % 5.04/5.21 535. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.04/5.21 536. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 5.04/5.21 537. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 5.04/5.21 538. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ### DisjTree 534 535 536 537 % 5.04/5.21 539. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 5.04/5.21 540. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 5.04/5.21 541. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 5.04/5.21 542. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 539 540 541 % 5.04/5.21 543. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((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))))) ### DisjTree 529 530 538 542 % 5.04/5.21 544. (((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)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) ((op (e2) (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)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 543 295 136 140 % 5.04/5.21 545. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((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)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((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))))) ((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 (e0) (e0)) != (e1)) ### DisjTree 525 544 457 476 % 5.04/5.21 546. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (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))) ((e1) != (e2)) ((e1) != (e3)) ((op (e2) (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)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((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))))) ((op (e0) (e0)) != (e0)) ### DisjTree 521 141 524 545 % 5.04/5.21 547. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((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))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 546 % 5.04/5.21 548. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.04/5.21 549. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.04/5.21 550. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.04/5.21 551. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 295 550 323 128 % 5.04/5.21 552. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 549 551 386 476 % 5.04/5.21 553. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 552 332 % 5.04/5.21 554. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (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) != (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) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((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) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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)) ### DisjTree 548 10 417 553 % 5.04/5.21 555. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 554 % 5.04/5.21 556. ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 483 25 520 132 547 555 148 150 151 152 157 159 % 5.04/5.22 557. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) ### Or 556 208 % 5.04/5.22 558. ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((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) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 488 25 520 132 516 403 148 150 151 152 157 159 % 5.04/5.22 559. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ### Or 558 128 % 5.04/5.22 560. ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 557 559 % 5.04/5.22 561. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.04/5.22 562. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.04/5.22 563. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 5.04/5.22 564. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 5.04/5.22 565. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 5.04/5.22 566. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 563 564 565 % 5.04/5.22 567. (((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 562 453 566 480 % 5.04/5.22 568. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((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))))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 561 449 299 567 % 5.04/5.22 569. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) ((e0) != (e1)) (((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))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((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))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 568 % 5.04/5.22 570. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ### ConjTree 566 % 5.04/5.22 571. ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (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)) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 162 101 569 25 164 132 570 169 171 150 151 152 173 159 % 5.04/5.22 572. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) ### Or 560 571 % 5.04/5.22 573. ((op (e0) (e0)) != (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)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((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 (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (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) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (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) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 554 208 % 5.04/5.22 574. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (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) != (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) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((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) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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)) ### Or 573 332 % 5.04/5.22 575. ((op (e0) (e0)) != (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)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((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 (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (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) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 574 168 % 5.04/5.22 576. ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 572 575 % 5.04/5.22 577. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.04/5.22 578. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 5.04/5.22 579. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 5.04/5.22 580. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 5.04/5.22 581. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq 578 579 580 % 5.04/5.22 582. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 5.04/5.22 583. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 5.04/5.22 584. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 5.04/5.22 585. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 582 583 584 % 5.04/5.22 586. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.04/5.22 587. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 581 585 471 586 % 5.04/5.22 588. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 587 61 226 208 % 5.04/5.22 589. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 587 286 289 208 % 5.04/5.22 590. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.04/5.22 591. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 581 585 467 590 % 5.04/5.22 592. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 282 538 591 200 % 5.04/5.22 593. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 298 538 591 200 % 5.04/5.22 594. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (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 (e3) (e3)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 593 286 226 208 % 5.04/5.22 595. (((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 (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (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) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 592 295 594 140 % 5.04/5.22 596. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e0)) ### DisjTree 577 588 589 595 % 5.04/5.22 597. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (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) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((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 (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 596 % 5.04/5.22 598. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.04/5.22 599. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.04/5.22 600. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (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 (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (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))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 513 % 5.04/5.22 601. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 112 445 101 486 25 600 132 516 403 148 150 151 152 157 159 % 5.04/5.22 602. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ### Or 601 128 % 5.04/5.22 603. ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e3)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 33 602 % 5.04/5.22 604. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((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))))) ### ConjTree 567 % 5.04/5.22 605. ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 162 101 604 25 164 132 570 169 171 150 151 152 173 159 % 5.04/5.22 606. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e1)) ### Or 603 605 % 5.04/5.22 607. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 410 168 % 5.04/5.22 608. ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e3)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 606 607 % 5.04/5.22 609. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (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 (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))) ((e1) != (e2)) ((e1) != (e3)) ((op (e2) (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)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 545 % 5.04/5.23 610. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 112 445 101 117 25 231 132 609 236 148 150 151 152 157 159 % 5.04/5.23 611. ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (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)) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 610 241 % 5.04/5.23 612. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### Or 611 246 % 5.04/5.23 613. ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e0)) = (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (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)) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 612 235 % 5.04/5.23 614. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ### Or 608 613 % 5.04/5.23 615. ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e3)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 614 179 % 5.04/5.23 616. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.04/5.23 617. ((op (e0) (e0)) = (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 457 615 616 471 % 5.04/5.23 618. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ### DisjTree 617 295 136 140 % 5.04/5.23 619. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) ### DisjTree 599 618 457 476 % 5.04/5.23 620. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((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 (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((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))))) ((op (e0) (e0)) != (e0)) ### DisjTree 598 141 524 619 % 5.04/5.23 621. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 620 % 5.04/5.23 622. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 228 445 101 597 25 231 132 621 236 148 150 151 152 157 159 % 5.04/5.23 623. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 622 128 % 5.04/5.23 624. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ### Or 623 241 % 5.04/5.23 625. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 624 246 % 5.04/5.23 626. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ### Or 625 235 % 5.04/5.23 627. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) ### Or 576 626 % 5.04/5.23 628. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 179 % 5.04/5.23 629. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.04/5.23 630. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.04/5.23 631. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.04/5.23 632. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.04/5.23 633. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 5.04/5.23 634. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) ### DisjTree 524 68 633 83 % 5.04/5.23 635. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ((op (e2) (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)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 61 634 87 91 % 5.04/5.23 636. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 632 453 635 480 % 5.04/5.23 637. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e2) (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)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 631 636 386 476 % 5.04/5.23 638. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.04/5.23 639. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 314 638 68 189 % 5.04/5.24 640. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((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)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) ### DisjTree 630 637 408 639 % 5.04/5.24 641. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (((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) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e2) (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)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e0)) ### DisjTree 629 202 415 640 % 5.04/5.24 642. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e0)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ### ConjTree 642 % 5.04/5.24 644. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 106 25 628 132 621 643 148 150 151 152 157 159 % 5.04/5.24 645. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ### Or 644 208 % 5.04/5.24 646. ((op (e2) (e2)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((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) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 488 25 628 132 516 403 148 150 151 152 157 159 % 5.04/5.24 647. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e2) (e2)) != (e2)) ### Or 646 128 % 5.04/5.24 648. ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 645 647 % 5.04/5.24 649. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ### Or 648 571 % 5.04/5.24 650. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (((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) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (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) (e1)) != (op (e0) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (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) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 325 409 101 106 25 411 132 326 642 148 150 151 152 157 159 % 5.04/5.24 651. ((op (e0) (e0)) != (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((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 (e0) (e0)) != (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)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 650 208 % 5.04/5.24 652. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (((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) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (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) (e1)) != (op (e0) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### Or 651 332 % 5.04/5.24 653. ((op (e0) (e0)) != (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((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 (e0) (e0)) != (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)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 652 168 % 5.04/5.24 654. ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 649 653 % 5.04/5.24 655. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 228 445 101 106 25 231 132 621 236 148 150 151 152 157 159 % 5.04/5.24 656. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 655 241 % 5.04/5.24 657. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ### Or 656 246 % 5.04/5.24 658. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 657 235 % 5.04/5.24 659. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 654 658 % 5.04/5.25 660. ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 627 659 % 5.04/5.25 661. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ### Or 519 571 % 5.04/5.25 662. ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 661 607 % 5.04/5.25 663. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 228 445 101 117 25 231 132 547 236 148 150 151 152 157 159 % 5.04/5.25 664. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 663 241 % 5.04/5.25 665. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ### Or 664 246 % 5.04/5.25 666. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 665 235 % 5.04/5.25 667. (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ### Or 662 666 % 5.04/5.25 668. ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((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) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ### Or 667 179 % 5.04/5.25 669. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 660 668 % 5.04/5.25 670. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 445 101 257 259 264 132 547 266 148 150 151 268 157 159 % 5.04/5.25 671. ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 430 101 488 259 264 132 516 403 148 150 151 152 157 159 % 5.04/5.25 672. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ### Or 671 128 % 5.04/5.25 673. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 670 672 % 5.04/5.25 674. ((op (e2) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 445 101 257 259 264 132 570 266 171 150 151 268 157 159 % 5.04/5.25 675. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 673 674 % 5.04/5.25 676. ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 675 438 % 5.04/5.25 677. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 228 445 101 257 259 231 132 547 236 148 150 151 268 157 159 % 5.04/5.25 678. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 677 241 % 5.04/5.25 679. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ### Or 678 246 % 5.04/5.26 680. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 679 235 % 5.04/5.26 681. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 676 680 % 5.04/5.26 682. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 5.04/5.26 683. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 5.04/5.26 684. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=) % 5.04/5.26 685. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e3)) = (e1)) ### TransEq 682 683 684 % 5.04/5.26 686. ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 681 685 % 5.04/5.26 687. ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 669 686 % 5.04/5.26 688. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) ((e0) != (e1)) (((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))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (e1)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (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)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 482 % 5.04/5.26 689. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.04/5.26 690. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (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)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((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))))) ((op (e0) (e0)) != (e0)) ### DisjTree 689 141 524 477 % 5.04/5.26 691. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((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))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((e1) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 690 % 5.04/5.26 692. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((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))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 291 101 688 25 301 132 691 307 148 150 151 152 157 159 % 5.04/5.26 693. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 488 25 301 132 516 403 148 150 151 152 157 159 % 5.04/5.26 694. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (e2)) ### Or 693 128 % 5.04/5.26 695. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) = (e1)) (((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) (e2)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e3)) ### Or 692 694 % 5.04/5.26 696. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 291 101 569 25 301 132 570 307 171 150 151 152 157 159 % 5.04/5.26 697. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((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))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 695 696 % 5.04/5.26 698. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 551 % 5.04/5.26 699. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e3)) ((e1) != (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (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) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 325 409 101 698 25 411 132 326 307 148 150 151 152 157 159 % 5.04/5.26 700. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (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))))) ((op (e0) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 699 208 % 5.04/5.26 701. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e3)) ((e1) != (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 700 332 % 5.04/5.26 702. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (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))))) ((op (e0) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 701 168 % 5.04/5.26 703. ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e3)) ### Or 697 702 % 5.04/5.26 704. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (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) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((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 (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 596 % 5.04/5.26 705. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 228 291 101 704 25 231 132 691 236 148 150 151 152 157 159 % 5.04/5.26 706. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (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) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((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 (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 705 128 % 5.04/5.26 707. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 706 241 % 5.04/5.26 708. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((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 (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 707 246 % 5.04/5.26 709. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 708 235 % 5.04/5.26 710. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((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))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 703 709 % 5.04/5.27 711. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 710 105 % 5.04/5.27 712. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((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))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 711 256 % 5.04/5.27 713. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ### Or 687 712 % 5.04/5.27 714. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((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))))) ((op (e0) (e0)) != (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 481 % 5.04/5.27 715. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e1)) ### ConjTree 603 % 5.04/5.27 716. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (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) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 552 % 5.04/5.27 717. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 714 25 715 132 609 716 148 150 151 152 157 159 % 5.04/5.27 718. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 486 25 715 132 516 403 148 150 151 152 157 159 % 5.04/5.27 719. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e1)) ### Or 718 128 % 5.04/5.27 720. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 717 719 % 5.04/5.27 721. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 720 605 % 5.04/5.27 722. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 553 168 % 5.04/5.27 723. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 721 722 % 5.04/5.27 724. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e1)) (((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))) ((e2) != (e3)) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (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)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 477 % 5.04/5.27 725. ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 704 25 231 132 724 236 148 150 151 152 157 159 % 5.04/5.27 726. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ### ConjTree 725 % 5.04/5.27 727. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ### ConjTree 619 % 5.04/5.27 728. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 726 25 231 132 727 236 148 150 151 152 157 159 % 5.04/5.27 729. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 728 128 % 5.04/5.27 730. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 729 241 % 5.04/5.27 731. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 730 246 % 5.04/5.28 732. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 731 235 % 5.04/5.28 733. (((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) (e1)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 723 732 % 5.04/5.28 734. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (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)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 640 % 5.04/5.28 735. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((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)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ### ConjTree 734 % 5.04/5.28 736. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 106 25 628 132 727 735 148 150 151 152 157 159 % 5.04/5.28 737. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 486 25 628 132 516 403 148 150 151 152 157 159 % 5.04/5.28 738. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e2) (e2)) != (e2)) ### Or 737 128 % 5.04/5.28 739. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((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 (e3) (e1)) = (e3))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) ### Or 736 738 % 5.04/5.28 740. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 739 605 % 5.04/5.28 741. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (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) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (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) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 325 409 101 106 25 411 132 326 734 148 150 151 152 157 159 % 5.04/5.28 742. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (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)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 741 208 % 5.04/5.28 743. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (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) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 742 332 % 5.04/5.28 744. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (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)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 743 168 % 5.04/5.28 745. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((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 (e3) (e1)) = (e3))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ### Or 740 744 % 5.04/5.28 746. ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 106 25 628 132 727 236 148 150 151 152 157 159 % 5.04/5.28 747. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((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 (e3) (e1)) = (e3))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) = (e2)) ### Or 746 241 % 5.04/5.28 748. ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 747 246 % 5.04/5.28 749. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((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 (e3) (e1)) = (e3))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) ### Or 748 235 % 5.04/5.28 750. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 745 749 % 5.04/5.28 751. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) (((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))))) ### Or 733 750 % 5.04/5.29 752. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 445 101 257 259 264 132 609 266 148 150 151 268 157 159 % 5.04/5.29 753. ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) = (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)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 430 101 486 259 264 132 516 403 148 150 151 152 157 159 % 5.04/5.29 754. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) = (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 (e0) (e3)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ### Or 753 128 % 5.04/5.29 755. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 752 754 % 5.04/5.29 756. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 755 674 % 5.04/5.29 757. ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 756 438 % 5.04/5.29 758. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e3)) ((op (e2) (e0)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 445 101 257 259 231 132 609 236 148 150 151 268 157 159 % 5.04/5.29 759. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 758 241 % 5.04/5.29 760. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### Or 759 246 % 5.04/5.29 761. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) = (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 760 235 % 5.04/5.29 762. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 757 761 % 5.04/5.29 763. ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (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)) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 762 685 % 5.04/5.29 764. ((op (e1) (e1)) != (op (e1) (e3))) (((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) (e1)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (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))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### Or 751 763 % 5.04/5.29 765. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((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))))) ((op (e0) (e0)) != (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 481 % 5.04/5.29 766. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ### Or 725 128 % 5.04/5.29 767. ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 766 241 % 5.04/5.29 768. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ### Or 767 246 % 5.04/5.29 769. ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 768 235 % 5.04/5.29 770. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ### ConjTree 769 % 5.04/5.29 771. ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 765 25 301 132 770 307 148 150 151 152 157 159 % 5.04/5.30 772. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 486 25 301 132 516 403 148 150 151 152 157 159 % 5.04/5.30 773. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (e2)) ### Or 772 128 % 5.04/5.30 774. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ### Or 771 773 % 5.04/5.30 775. ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 274 445 101 604 25 301 132 770 307 171 150 151 152 157 159 % 5.04/5.30 776. ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 774 775 % 5.04/5.30 777. ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ### Or 776 702 % 5.04/5.30 778. ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 777 769 % 5.04/5.30 779. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 778 105 % 5.04/5.30 780. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (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))))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 779 256 % 5.04/5.30 781. ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((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 (e1) (e1)) != (op (e1) (e3))) ### Or 764 780 % 5.04/5.30 782. ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 713 781 % 5.04/5.30 783. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ### Or 782 444 % 5.04/5.30 784. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ### Or 783 273 % 5.04/5.30 785. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 5.04/5.30 786. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 5.04/5.30 787. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=) % 5.04/5.30 788. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq 785 786 787 % 5.04/5.30 789. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 788 % 5.04/5.30 790. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 5.04/5.30 791. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 5.04/5.30 792. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 5.04/5.30 793. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) = (e0)) ### TransEq 790 791 792 % 5.04/5.30 794. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 5.04/5.30 795. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 793 348 794 49 % 5.04/5.30 796. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### ConjTree 795 % 5.04/5.30 797. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 5.04/5.30 798. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) = (e0)) ### ConjTree 797 % 5.04/5.30 799. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 5.04/5.30 800. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) = (e0)) ### ConjTree 799 % 5.04/5.30 801. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 101 23 25 796 132 798 146 148 150 800 152 157 159 % 5.04/5.30 802. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 33 801 % 5.04/5.30 803. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### ConjTree 802 % 5.04/5.30 804. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 5.04/5.30 805. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 5.04/5.30 806. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=) % 5.04/5.30 807. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) = (e0)) ### TransEq 804 805 806 % 5.04/5.30 808. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.04/5.30 809. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 101 23 25 301 132 798 307 148 150 800 152 157 159 % 5.04/5.30 810. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.04/5.30 811. (((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)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### DisjTree 809 810 145 189 % 5.04/5.30 812. 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(((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### ConjTree 812 % 5.04/5.30 814. (((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))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (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)) != (op (e1) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 101 23 25 803 132 798 813 148 150 800 152 157 159 % 5.04/5.30 815. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 162 101 23 25 164 132 798 169 171 150 800 152 173 159 % 5.04/5.30 816. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((op (e1) (e1)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((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) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (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))))) ### Or 814 815 % 5.04/5.30 817. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 101 23 25 231 132 798 236 148 150 800 152 157 159 % 5.04/5.31 818. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((op (e1) (e1)) != (e1)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (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 (e2) (e2)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 817 241 % 5.04/5.31 819. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 162 101 23 25 231 132 798 169 171 150 800 152 173 159 % 5.04/5.31 820. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) = (e3)) ((op (e1) (e1)) != (e1)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (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) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 819 241 % 5.04/5.31 821. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 818 820 % 5.15/5.31 822. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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 (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))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (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)) != (op (e1) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 816 821 % 5.15/5.31 823. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.31 824. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 807 823 68 189 % 5.15/5.31 825. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### ConjTree 824 % 5.15/5.31 826. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 101 23 25 803 132 798 825 148 150 800 152 157 159 % 5.15/5.31 827. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (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 (e1) (e3)) = (e1)) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 101 23 25 164 132 798 825 171 150 800 152 157 159 % 5.15/5.31 828. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((op (e1) (e1)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### Or 826 827 % 5.15/5.31 829. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 828 821 % 5.15/5.31 830. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((op (e1) (e1)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((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) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((e2) != (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)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### Or 822 829 % 5.15/5.31 831. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ### DisjTree 2 252 16 101 23 259 264 132 798 266 148 150 800 268 157 159 % 5.15/5.31 832. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ### DisjTree 2 252 162 101 23 259 164 132 798 266 171 150 800 268 173 159 % 5.15/5.31 833. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 831 832 % 5.15/5.31 834. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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 (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))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (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)) != (op (e1) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 830 833 % 5.15/5.31 835. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 162 101 23 25 164 132 798 307 171 150 800 152 173 159 % 5.15/5.31 836. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 809 835 % 5.15/5.31 837. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 836 105 % 5.15/5.31 838. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 837 256 % 5.15/5.31 839. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((e2) != (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)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ### Or 834 838 % 5.15/5.31 840. (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ### Or 784 839 % 5.15/5.31 841. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### Or 51 840 % 5.15/5.31 842. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 5.15/5.31 843. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 5.15/5.31 844. ((e0) != (e1)) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) = (e0)) ### TransEq 842 843 95 % 5.15/5.31 845. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 5.15/5.31 846. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 5.15/5.31 847. ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e0)) ### TransEq 845 846 75 % 5.15/5.31 848. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 5.15/5.31 849. (((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 20 844 847 848 % 5.15/5.31 850. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 849 % 5.15/5.31 851. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.31 852. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.31 853. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 5.15/5.31 854. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 5.15/5.31 855. ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 853 854 48 % 5.15/5.31 856. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 5.15/5.31 857. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 5.15/5.31 858. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 5.15/5.31 859. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 856 857 858 % 5.15/5.31 860. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 5.15/5.31 861. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 5.15/5.31 862. ((e0) != (e3)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 860 861 56 % 5.15/5.31 863. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 5.15/5.31 864. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 5.15/5.31 865. ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) = (e1)) ### TransEq 863 864 75 % 5.15/5.31 866. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.15/5.31 867. (((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 865 189 375 866 % 5.15/5.31 868. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 5.15/5.31 869. (((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 862 867 49 868 % 5.15/5.31 870. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (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)) ((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 (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 852 855 859 869 % 5.15/5.31 871. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 5.15/5.31 872. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 5.15/5.31 873. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 5.15/5.31 874. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 871 872 873 % 5.15/5.31 875. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((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))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 851 870 874 508 % 5.15/5.31 876. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (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)) ((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 (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 875 % 5.15/5.31 877. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 5.15/5.31 878. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 5.15/5.31 879. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=) % 5.15/5.31 880. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) ((op (e3) (e2)) = (e3)) ### TransEq 877 878 879 % 5.15/5.31 881. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 880 % 5.15/5.31 882. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 5.15/5.31 883. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 5.15/5.31 884. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=) % 5.15/5.31 885. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((op (e3) (e2)) = (e3)) ### TransEq 882 883 884 % 5.15/5.31 886. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 885 % 5.15/5.31 887. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 5.15/5.31 888. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 5.15/5.31 889. ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e3)) ### TransEq-sym 887 888 48 % 5.15/5.31 890. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ### ConjTree 889 % 5.15/5.31 891. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 5.15/5.31 892. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))) ((op (e3) (e3)) != (e3)) ### ConjTree 891 % 5.15/5.31 893. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 21 23 25 796 850 516 403 148 876 881 886 890 892 % 5.15/5.31 894. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 5.15/5.31 895. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 5.15/5.31 896. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=) % 5.15/5.31 897. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) = (e3)) ### TransEq-sym 894 895 896 % 5.15/5.31 898. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (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)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 893 897 % 5.15/5.31 899. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((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)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 841 898 % 5.15/5.31 900. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.31 901. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.15/5.31 902. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.31 903. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 5.15/5.31 904. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 5.15/5.31 905. ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e0)) ### TransEq 903 904 75 % 5.15/5.31 906. (((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)) = (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 449 902 348 905 % 5.15/5.31 907. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 295 901 124 906 % 5.15/5.31 908. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 5.15/5.31 909. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 5.15/5.31 910. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 5.15/5.31 911. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 908 909 910 % 5.15/5.31 912. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 5.15/5.31 913. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 5.15/5.31 914. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 5.15/5.31 915. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 5.15/5.31 916. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e3) (e3)) = (e1)) ### TransEq 913 914 915 % 5.15/5.31 917. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 5.15/5.31 918. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 5.15/5.31 919. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ### DisjTree 912 916 917 918 % 5.15/5.31 920. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 900 907 911 919 % 5.15/5.31 921. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 920 % 5.15/5.31 922. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 5.15/5.31 923. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 5.15/5.31 924. ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e1)) ### TransEq 922 923 75 % 5.15/5.31 925. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ### ConjTree 924 % 5.15/5.31 926. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.31 927. (((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))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (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 (e0) (e0)) != (e2)) ### DisjTree 926 504 874 508 % 5.15/5.31 928. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((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 (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((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))))) ### ConjTree 927 % 5.15/5.31 929. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 5.15/5.31 930. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 5.15/5.31 931. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=) % 5.15/5.31 932. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((op (e3) (e1)) = (e3)) ### TransEq 929 930 931 % 5.15/5.31 933. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 932 % 5.15/5.31 934. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.31 935. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 5.15/5.31 936. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 5.15/5.31 937. ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e0)) ### TransEq 935 936 95 % 5.15/5.31 938. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 5.15/5.31 939. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 5.15/5.31 940. ((e0) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) = (e0)) ### TransEq 938 939 75 % 5.15/5.31 941. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 807 934 937 940 % 5.15/5.31 942. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### ConjTree 941 % 5.15/5.31 943. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 885 % 5.15/5.31 944. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 21 117 25 921 925 798 146 148 928 933 942 943 892 % 5.15/5.31 945. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((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 (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 944 128 % 5.15/5.31 946. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 945 885 % 5.15/5.31 947. ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((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 (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 899 946 % 5.15/5.32 948. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 5.15/5.32 949. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 5.15/5.32 950. ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e0)) ### TransEq 948 949 75 % 5.15/5.32 951. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### ConjTree 950 % 5.15/5.32 952. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 179 % 5.15/5.32 953. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 932 % 5.15/5.32 954. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 880 % 5.15/5.32 955. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e0)) ((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 (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 951 23 25 796 952 516 403 148 928 800 953 954 892 % 5.15/5.32 956. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((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 (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 955 208 % 5.15/5.32 957. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (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 (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) = (e1)) ### Or 947 956 % 5.15/5.32 958. ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 33 957 % 5.15/5.32 959. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 5.15/5.32 960. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 5.15/5.32 961. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=) % 5.15/5.32 962. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e3)) = (e2)) ### TransEq 959 960 961 % 5.15/5.32 963. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 962 % 5.15/5.32 964. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 162 21 23 25 164 952 570 169 171 963 800 942 173 892 % 5.15/5.32 965. 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((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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 (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) ### Or 958 965 % 5.15/5.32 967. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### ConjTree 282 % 5.15/5.32 968. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.32 969. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 314 968 538 542 % 5.15/5.32 970. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### ConjTree 969 % 5.15/5.32 971. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) (((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)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### ConjTree 841 % 5.15/5.32 972. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.32 973. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.15/5.32 974. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 5.15/5.32 975. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 5.15/5.32 976. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 5.15/5.32 977. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 974 975 976 % 5.15/5.32 978. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e2) (e3)) = (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 295 973 977 943 % 5.15/5.32 979. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.32 980. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.32 981. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.32 982. (((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 (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 981 61 226 880 % 5.15/5.32 983. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.32 984. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.32 985. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.15/5.32 986. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) ### DisjTree 295 985 348 849 % 5.15/5.32 987. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.15/5.32 988. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 5.15/5.32 989. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 5.15/5.32 990. ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e0)) ### TransEq 988 989 48 % 5.15/5.32 991. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 5.15/5.32 992. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 5.15/5.32 993. ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 991 992 95 % 5.15/5.32 994. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 5.15/5.32 995. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 5.15/5.32 996. ((e0) != (e2)) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 994 995 56 % 5.15/5.32 997. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 5.15/5.32 998. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 5.15/5.32 999. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 5.15/5.32 1000. ((op (op (e3) (e3)) (op (e3) (e3))) != (op (e2) (e2))) ((op (e3) (e3)) = (e2)) ### NotEqual 998 999 % 5.15/5.32 1001. ((e0) != (op (op (e3) (e3)) (op (e3) (e3)))) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) ### Trans-sym 1000 56 % 5.15/5.32 1002. ((op (op (e3) (e3)) (op (e3) (e3))) != (e0)) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) ### Trans 1000 56 % 5.15/5.32 1003. ((op (op (op (e3) (e3)) (op (e3) (e3))) (e3)) != (op (e0) (e3))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) = (e0)) ### NotEqual 1002 75 % 5.15/5.32 1004. ((e1) != (op (op (op (e3) (e3)) (op (e3) (e3))) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) ### Trans-sym 1003 95 % 5.15/5.32 1005. (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e1)) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) ### DisjTree 997 1001 1004 % 5.15/5.32 1006. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e0)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e3)) ((e2) != (e3)) ((op (e1) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ### DisjTree 993 996 889 1005 % 5.15/5.32 1007. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 5.15/5.32 1008. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 5.15/5.32 1009. ((e0) != (e3)) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) = (e0)) ### TransEq 1007 1008 75 % 5.15/5.32 1010. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) = (e0)) ((e2) != (e3)) ((op (e2) (e3)) = (e3)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 990 348 1006 1009 % 5.15/5.32 1011. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e3)) ((e2) != (e3)) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) ### DisjTree 295 987 1010 844 % 5.15/5.32 1012. (((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))))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) = (e0)) ((e2) != (e3)) ((op (e2) (e3)) = (e3)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e2)) = (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 120 984 986 1011 % 5.15/5.32 1013. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((e1) != (e3)) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) = (e1)) ((e1) != (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) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((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))))) ### DisjTree 982 983 937 1012 % 5.15/5.32 1014. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (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))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) = (e3)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (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)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (e3)) ### DisjTree 980 1013 136 865 % 5.15/5.32 1015. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) = (e1)) ((e1) != (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) (e2)) = (e1)) ((e0) != (e1)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (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 (e0) (e0)) != (e2)) ### DisjTree 979 504 1014 993 % 5.15/5.32 1016. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) (((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)) != (e1)) ((op (e1) (e1)) != (e0)) (((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 (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e0) != (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))))) ((e1) != (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (((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)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 972 978 911 1015 % 5.15/5.32 1017. ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e1) != (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))))) ((e0) != (e1)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1016 % 5.15/5.32 1018. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) (((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)) != (e1)) ((op (e1) (e1)) != (e0)) (((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 (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e0) != (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))))) ((e1) != (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (((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)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### ConjTree 1017 % 5.15/5.32 1019. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 967 970 117 25 921 952 798 146 148 971 800 942 1018 892 % 5.15/5.32 1020. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 1019 839 % 5.15/5.32 1021. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.32 1022. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.32 1023. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.32 1024. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 5.15/5.32 1025. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((e0) != (e2)) ((op (e1) (e3)) = (e0)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 226 124 1024 1006 % 5.15/5.32 1026. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### DisjTree 303 538 1025 847 % 5.15/5.32 1027. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((e0) != (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 61 1023 538 1026 % 5.15/5.32 1028. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e2)) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1022 1027 226 880 % 5.15/5.32 1029. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1021 907 911 1028 % 5.15/5.32 1030. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1029 % 5.15/5.32 1031. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 241 % 5.15/5.32 1032. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 21 23 25 1030 850 798 236 148 1031 881 886 1017 892 % 5.15/5.32 1033. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1032 897 % 5.15/5.32 1034. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1020 1033 % 5.15/5.32 1035. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.32 1036. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) = (e1)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1035 906 911 919 % 5.15/5.32 1037. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1036 % 5.15/5.32 1038. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 5.15/5.32 1039. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 5.15/5.32 1040. ((e0) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e2)) = (e0)) ### TransEq 1038 1039 48 % 5.15/5.32 1041. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 5.15/5.32 1042. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 20 905 1040 1041 % 5.15/5.32 1043. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 1042 % 5.15/5.32 1044. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((e0) != (e3)) ((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 (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 967 970 117 25 1037 925 798 146 148 1043 933 942 943 892 % 5.15/5.32 1045. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1044 128 % 5.15/5.32 1046. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((e0) != (e3)) ((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 (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1045 885 % 5.15/5.32 1047. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1034 1046 % 5.15/5.33 1048. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.33 1049. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 105 % 5.15/5.33 1050. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.33 1051. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 5.15/5.33 1052. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 5.15/5.33 1053. ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 1051 1052 95 % 5.15/5.33 1054. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 5.15/5.33 1055. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 5.15/5.33 1056. ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e2)) ### TransEq 1054 1055 75 % 5.15/5.33 1057. (((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 (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1050 1053 236 1056 % 5.15/5.33 1058. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.33 1059. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1058 1053 241 1056 % 5.15/5.33 1060. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### ConjTree 1059 % 5.15/5.33 1061. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 951 23 25 301 1049 798 1057 148 1060 800 953 954 892 % 5.15/5.33 1062. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 5.15/5.33 1063. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 5.15/5.33 1064. ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ### TransEq 1062 1063 48 % 5.15/5.33 1065. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 5.15/5.33 1066. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 5.15/5.33 1067. ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e1)) ### TransEq 1065 1066 75 % 5.15/5.33 1068. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((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)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1048 1061 1064 1067 % 5.15/5.33 1069. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 1068 208 % 5.15/5.33 1070. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1047 1069 % 5.15/5.33 1071. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((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))))) ### Or 1070 241 % 5.15/5.33 1072. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 965 246 % 5.15/5.33 1073. ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1071 1072 % 5.15/5.33 1074. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((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 (e2) (e2)) != (op (e2) (e3))) ### Or 1073 235 % 5.15/5.33 1075. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ### Or 966 1074 % 5.15/5.33 1076. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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 (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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))))) ### ConjTree 1075 % 5.15/5.33 1077. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.33 1078. (((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) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1077 585 386 390 % 5.15/5.33 1079. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (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) (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))))) ### ConjTree 1078 % 5.15/5.33 1080. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 5.15/5.33 1081. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 5.15/5.33 1082. ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 1080 1081 95 % 5.15/5.33 1083. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ### ConjTree 1082 % 5.15/5.33 1084. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 5.15/5.33 1085. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 282 538 1084 847 % 5.15/5.33 1086. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### ConjTree 1085 % 5.15/5.33 1087. ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1087 834 % 5.15/5.33 1089. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1088 1085 % 5.15/5.33 1090. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.33 1091. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.33 1092. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.15/5.33 1093. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 5.15/5.33 1094. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 5.15/5.33 1095. ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e0)) ### TransEq 1093 1094 48 % 5.15/5.33 1096. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 5.15/5.33 1097. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 5.15/5.33 1098. ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ### TransEq 1096 1097 75 % 5.15/5.33 1099. (((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)) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 453 1092 1095 1098 % 5.15/5.33 1100. (((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) != (e2)) ((op (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 (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 449 1091 1099 369 % 5.15/5.33 1101. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (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)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1090 1100 386 476 % 5.15/5.33 1102. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((op (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 (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1101 % 5.15/5.33 1103. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (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)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 1102 106 25 628 925 798 825 148 1043 933 1083 943 892 % 5.15/5.33 1104. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((op (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 (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1103 128 % 5.15/5.33 1105. ((op (e3) (e1)) != (op (e3) (e2))) ((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)) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1089 1104 % 5.15/5.33 1106. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.33 1107. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.33 1108. (((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))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1107 453 874 508 % 5.15/5.33 1109. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.33 1110. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.33 1111. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.33 1112. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 5.15/5.33 1113. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 5.15/5.33 1114. ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 1112 1113 95 % 5.15/5.33 1115. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.33 1116. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.33 1117. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 5.15/5.33 1118. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 5.15/5.33 1119. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 1117 1118 56 % 5.15/5.33 1120. (((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))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1116 1119 874 508 % 5.15/5.33 1121. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.33 1122. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.15/5.33 1123. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 5.15/5.33 1124. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 5.15/5.33 1125. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 5.15/5.33 1126. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 1123 1124 1125 % 5.15/5.33 1127. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 5.15/5.33 1128. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 5.15/5.33 1129. ((e0) != (e3)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 1127 1128 56 % 5.15/5.33 1130. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 5.15/5.33 1131. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 5.15/5.33 1132. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 5.15/5.33 1133. ((op (op (e2) (e2)) (op (e2) (e2))) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 1131 1132 % 5.15/5.33 1134. ((e0) != (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e3) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1133 56 % 5.15/5.33 1135. ((op (op (e2) (e2)) (op (e2) (e2))) != (e0)) ((op (e3) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans 1133 56 % 5.15/5.33 1136. ((op (op (op (e2) (e2)) (op (e2) (e2))) (e2)) != (op (e0) (e2))) ((op (e2) (e2)) = (e3)) ((op (e3) (e3)) = (e0)) ### NotEqual 1135 48 % 5.15/5.33 1137. ((e1) != (op (op (op (e2) (e2)) (op (e2) (e2))) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1136 95 % 5.15/5.33 1138. (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e3) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### DisjTree 1130 1134 1137 % 5.15/5.33 1139. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 20 844 1040 1138 % 5.15/5.33 1140. (((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 (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) ((e0) != (e2)) ((op (e3) (e2)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1126 1129 1139 880 % 5.15/5.33 1141. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((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 (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 453 1122 348 1140 % 5.15/5.33 1142. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 5.15/5.33 1143. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 5.15/5.33 1144. ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e2)) = (e1)) ### TransEq 1142 1143 48 % 5.15/5.33 1145. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.15/5.33 1146. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 1067 844 1144 1145 % 5.15/5.33 1147. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((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 (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((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))))) ### DisjTree 1120 1121 1141 1146 % 5.15/5.34 1148. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((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))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((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))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((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)) ((e0) != (e2)) ### DisjTree 57 1115 1147 867 % 5.15/5.34 1149. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((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 (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((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 (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1111 855 1114 1148 % 5.15/5.34 1150. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.34 1151. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.34 1152. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.34 1153. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 61 1152 538 189 % 5.15/5.34 1154. (((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)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1151 1153 226 1067 % 5.15/5.34 1155. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ### DisjTree 1150 105 1064 1154 % 5.15/5.34 1156. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 1155 241 % 5.15/5.34 1157. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 1156 246 % 5.15/5.34 1158. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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 (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((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))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((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))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1110 1149 1157 1056 % 5.15/5.34 1159. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((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 (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((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 (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1109 1158 874 508 % 5.15/5.34 1160. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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 (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((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))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((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 (e0) (e0)) != (e1)) ### DisjTree 1106 1108 1159 390 % 5.15/5.34 1161. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((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 (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((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 (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (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 1160 % 5.15/5.34 1162. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((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))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e2)) ((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) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 951 23 25 628 1079 798 825 148 1161 800 953 954 892 % 5.15/5.34 1163. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (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) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) != (e1)) (((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 (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1162 208 % 5.15/5.34 1164. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((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))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e2)) ((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) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1163 932 % 5.15/5.34 1165. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (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) (e1)) != (op (e3) (e2))) ### Or 1105 1164 % 5.15/5.34 1166. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e2) (e2)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 21 106 25 628 925 798 825 148 1043 933 1083 943 892 % 5.15/5.34 1167. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e2)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1166 128 % 5.15/5.34 1168. ((op (e1) (e1)) != (e0)) ((op (e1) (e3)) = (e1)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((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 (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 899 1167 % 5.15/5.34 1169. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.34 1170. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.34 1171. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.34 1172. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.34 1173. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 5.15/5.34 1174. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((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))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 457 68 1173 1147 % 5.15/5.34 1175. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((e0) != (e2)) ((op (e2) (e2)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((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 (e0) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 807 1172 1174 189 % 5.15/5.34 1176. (((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)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((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))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1171 855 1114 1175 % 5.15/5.34 1177. ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((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 (e0) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (e2)) ### DisjTree 1170 1176 457 508 % 5.15/5.34 1178. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (e2)) (((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)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((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))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1169 585 1177 390 % 5.15/5.34 1179. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((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 (e0) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (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 1178 % 5.15/5.34 1180. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) (((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))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((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 (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (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 1160 % 5.15/5.34 1181. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (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 (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((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))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 951 23 25 796 1179 516 403 148 1180 800 953 954 892 % 5.15/5.34 1182. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) != (e1)) (((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 (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (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) (e0)) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1181 208 % 5.15/5.34 1183. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (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 (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((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))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1182 932 % 5.15/5.34 1184. ((op (e0) (e0)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (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 (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e0)) ### Or 1168 1183 % 5.15/5.34 1185. ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((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)) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((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 (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((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) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ### Or 1165 1184 % 5.15/5.34 1186. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.34 1187. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 5.15/5.34 1188. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 5.15/5.34 1189. ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) = (e2)) ### TransEq-sym 1187 1188 95 % 5.15/5.34 1190. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 5.15/5.34 1191. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 5.15/5.34 1192. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 5.15/5.34 1193. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 1190 1191 1192 % 5.15/5.34 1194. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 5.15/5.34 1195. (((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)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 1056 1189 1193 1194 % 5.15/5.34 1196. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.15/5.34 1197. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 453 1196 168 1098 % 5.15/5.34 1198. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.15/5.34 1199. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1197 1198 348 924 % 5.15/5.34 1200. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 5.15/5.34 1201. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) ((op (e2) (e1)) = (e0)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e3) (e1)) = (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 1195 1199 847 1200 % 5.15/5.34 1202. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 5.15/5.34 1203. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (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)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e3) (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 20 844 1201 1202 % 5.15/5.34 1204. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((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 (e3) (e3)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((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))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 788 1186 1203 844 % 5.15/5.34 1205. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (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)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### ConjTree 1204 % 5.15/5.34 1206. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.34 1207. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) ((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 (e0) (e1))) ### DisjTree 788 1206 1199 905 % 5.15/5.34 1208. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### ConjTree 1207 % 5.15/5.34 1209. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (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 (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (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) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ### DisjTree 2 220 16 21 106 25 628 1205 570 169 171 963 800 1208 173 892 % 5.15/5.34 1210. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (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 (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((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 (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (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))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1209 828 % 5.15/5.35 1211. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) != (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 (e3) (e2)) = (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 162 21 23 25 164 850 798 825 171 963 800 886 173 892 % 5.15/5.35 1212. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e2)) = (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 (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1211 897 % 5.15/5.35 1213. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (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) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1210 1212 % 5.15/5.35 1214. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((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))))) ### ConjTree 1195 % 5.15/5.35 1215. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (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 (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (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) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ### DisjTree 2 220 16 21 106 25 628 1214 570 169 171 963 800 953 173 892 % 5.15/5.35 1216. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((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) (e0)) != (op (e1) (e2))) ((e1) != (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)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e3) (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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1215 834 % 5.15/5.35 1217. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((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)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (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) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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 (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))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (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)) != (op (e1) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1216 880 % 5.15/5.35 1218. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (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 (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((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 (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (((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))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1213 1217 % 5.15/5.35 1219. ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((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))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (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) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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 (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 1218 246 % 5.15/5.35 1220. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (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) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ### Or 1185 1219 % 5.15/5.35 1221. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 332 % 5.15/5.35 1222. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 5.15/5.35 1223. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 793 1095 1222 1009 % 5.15/5.35 1224. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### ConjTree 1223 % 5.15/5.35 1225. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e2)) ((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) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 21 106 25 628 1079 798 825 148 1221 800 1083 1224 892 % 5.15/5.35 1226. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (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) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1225 834 % 5.15/5.35 1227. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e2)) ((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) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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 (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1226 332 % 5.15/5.35 1228. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1227 168 % 5.15/5.35 1229. ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((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)) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((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 (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((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) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 1220 1228 % 5.15/5.35 1230. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 1157 235 % 5.15/5.35 1231. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((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)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (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) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ### Or 1229 1230 % 5.15/5.35 1232. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((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)) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (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)) != (op (e1) (e0))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((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 (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((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) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### ConjTree 1231 % 5.15/5.35 1233. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.35 1234. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.35 1235. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.15/5.35 1236. (((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)) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 295 1235 323 905 % 5.15/5.35 1237. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 449 1234 1095 1236 % 5.15/5.35 1238. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1233 1237 386 919 % 5.15/5.35 1239. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1238 % 5.15/5.35 1240. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.35 1241. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 807 1240 538 940 % 5.15/5.35 1242. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### ConjTree 1241 % 5.15/5.35 1243. ((op (e2) (e2)) != (e1)) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 11 16 21 23 25 1076 1232 798 1239 148 971 800 1242 1086 892 % 5.15/5.35 1244. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) != (e1)) ### Or 1243 814 % 5.15/5.35 1245. ((op (e2) (e2)) != (e1)) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1244 1085 % 5.15/5.35 1246. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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 (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ### Or 1246 128 % 5.15/5.36 1248. ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e1) (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)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1247 885 % 5.15/5.36 1249. ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (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 (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e1)) ### Or 1245 1248 % 5.15/5.36 1250. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.36 1251. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 951 23 25 411 1049 326 1057 148 1221 800 953 1224 892 % 5.15/5.36 1252. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.36 1253. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.36 1254. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 57 1253 68 45 % 5.15/5.36 1255. (((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)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (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)) != (e2)) ### DisjTree 1252 1254 1064 1056 % 5.15/5.36 1256. 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(((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 1256 % 5.15/5.36 1258. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((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 (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 927 % 5.15/5.36 1259. 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(((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (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))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 11 16 951 23 25 1076 1232 798 1257 148 1258 800 953 954 892 % 5.15/5.36 1260. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e2)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ### Or 1259 208 % 5.15/5.36 1261. ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (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))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1260 880 % 5.15/5.36 1262. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e2)) ### Or 1261 932 % 5.15/5.36 1263. 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(((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1249 1262 % 5.15/5.36 1264. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.36 1265. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.36 1266. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.36 1267. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 5.15/5.36 1268. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 5.15/5.36 1269. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 5.15/5.36 1270. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 1267 1268 1269 % 5.15/5.36 1271. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 5.15/5.36 1272. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 5.15/5.36 1273. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 5.15/5.36 1274. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 1271 1272 1273 % 5.15/5.36 1275. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 1266 1270 136 1274 % 5.15/5.36 1276. (((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))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1265 453 1275 508 % 5.15/5.36 1277. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.36 1278. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 1277 1270 1114 1274 % 5.15/5.36 1279. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (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 (e0) (e0)) != (e1)) ### DisjTree 1264 1276 1278 919 % 5.15/5.36 1280. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e1)) (((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))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1279 % 5.15/5.36 1281. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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 (e3) (e1)) = (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e2)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ### Or 1281 128 % 5.15/5.36 1283. ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (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 (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1282 885 % 5.15/5.37 1284. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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 (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((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 (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 899 1283 % 5.15/5.37 1285. ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (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) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 11 16 951 23 25 796 1232 516 403 148 928 800 953 890 892 % 5.15/5.37 1286. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((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) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e2)) ### Or 1285 208 % 5.15/5.37 1287. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (e2)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (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 (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ### Or 1284 1286 % 5.15/5.37 1288. ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (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 (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) ### Or 1263 1287 % 5.15/5.37 1289. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((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) (e3)) != (e0)) (((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 (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 162 21 23 25 164 1205 798 169 171 963 800 1208 173 892 % 5.15/5.37 1290. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (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)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (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))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1289 822 % 5.15/5.37 1291. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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) (e2)) != (op (e2) (e2))) (((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)) ((e0) != (e1)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 21 23 25 164 850 570 169 171 963 800 886 173 892 % 5.15/5.37 1292. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) = (e2)) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) (((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)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1291 897 % 5.15/5.37 1293. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e0)) (((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 (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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 (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 (e1) (e1)) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (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 (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1290 1292 % 5.15/5.37 1294. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (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))) ((e1) != (e2)) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 162 21 23 25 164 1214 798 169 171 963 800 953 173 892 % 5.15/5.37 1295. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((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) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (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)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((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) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1294 822 % 5.15/5.37 1296. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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 (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 (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (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)) != (op (e1) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (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 (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1295 880 % 5.15/5.37 1297. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (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)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) (((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))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1293 1296 % 5.15/5.37 1298. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1288 1297 % 5.15/5.37 1299. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (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 (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1238 822 % 5.15/5.37 1300. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.37 1301. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1300 1237 386 476 % 5.15/5.37 1302. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1301 % 5.15/5.37 1303. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.37 1304. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.37 1305. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.37 1306. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.15/5.37 1307. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.15/5.37 1308. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 5.15/5.37 1309. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 5.15/5.37 1310. ((e2) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ### TransEq 1308 1309 75 % 5.15/5.37 1311. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e3)) ((e2) != (e3)) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1053 1307 68 1310 % 5.15/5.37 1312. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 5.15/5.37 1313. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e2)) ((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)) = (e2)) ((e0) != (e2)) ### DisjTree 524 1311 1312 847 % 5.15/5.37 1314. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 286 1306 87 1313 % 5.15/5.37 1315. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.37 1316. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 5.15/5.37 1317. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 5.15/5.37 1318. ((e2) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) = (e2)) ### TransEq 1316 1317 75 % 5.15/5.37 1319. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1315 295 859 1318 % 5.15/5.37 1320. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((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)) ((e2) != (e3)) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1305 453 1314 1319 % 5.15/5.37 1321. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.37 1322. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.37 1323. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1322 855 859 865 % 5.15/5.37 1324. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1321 1323 1314 993 % 5.15/5.37 1325. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (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)) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((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)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1304 1320 386 1324 % 5.15/5.37 1326. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((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)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (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)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1325 % 5.15/5.37 1327. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (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 (e2) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((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)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((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)) ((e0) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 21 23 25 411 850 326 1326 148 1221 881 886 1224 892 % 5.15/5.37 1328. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((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)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1327 897 % 5.15/5.37 1329. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.37 1330. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.37 1331. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.15/5.37 1332. (((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)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 286 1331 87 940 % 5.15/5.37 1333. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.15/5.37 1334. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((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)) ((e0) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 21 23 25 411 850 326 825 148 1221 881 886 1224 892 % 5.15/5.37 1335. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1334 897 % 5.15/5.37 1336. (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((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) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e1) (e2)) = (e2)) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1332 1333 145 1335 % 5.15/5.38 1337. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (e1)) ((e1) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e0) != (e1)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e1) (e2)) = (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 57 1330 68 1336 % 5.15/5.38 1338. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.38 1339. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.38 1340. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (e1)) ((e1) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e0) != (e1)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e1) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 61 1339 68 1336 % 5.15/5.38 1341. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 5.15/5.38 1342. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 5.15/5.38 1343. ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 1341 1342 95 % 5.15/5.38 1344. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((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) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1338 1340 1343 1056 % 5.15/5.38 1345. 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((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.38 1347. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.38 1348. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.38 1349. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (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)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 11 967 951 23 25 301 1049 798 236 148 1031 800 953 954 892 % 5.15/5.38 1350. 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((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.38 1352. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.38 1353. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 61 1352 538 940 % 5.15/5.38 1354. (((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)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1351 1353 226 1067 % 5.15/5.38 1355. 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(((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((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)) != (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) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 1355 % 5.15/5.38 1357. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.38 1358. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.15/5.38 1359. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e3)) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e1) (e0)) != (op (e1) (e2))) ((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)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### Or 1350 897 % 5.15/5.38 1360. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.38 1361. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.38 1362. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.15/5.38 1363. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 5.15/5.38 1364. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 5.15/5.38 1365. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 5.15/5.38 1366. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 1363 1364 1365 % 5.15/5.38 1367. (((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)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 286 1362 1366 940 % 5.15/5.38 1368. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.15/5.38 1369. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1367 1368 911 189 % 5.15/5.38 1370. (((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) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 61 1361 538 1369 % 5.15/5.38 1371. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (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))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1360 1370 226 1067 % 5.15/5.38 1372. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (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))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((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)) != (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) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e1)) ### DisjTree 1358 1359 1064 1371 % 5.15/5.38 1373. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.15/5.38 1374. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.38 1375. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.15/5.38 1376. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.15/5.38 1377. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) ((e1) != (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) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 61 1376 538 1012 % 5.15/5.38 1378. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (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))))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((e2) != (e3)) ((op (e2) (e3)) = (e3)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e2)) = (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1375 1377 226 954 % 5.15/5.38 1379. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) ((e1) != (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) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1374 1378 136 865 % 5.15/5.38 1380. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((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)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (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))))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((e2) != (e3)) ((op (e2) (e3)) = (e3)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e2)) = (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((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))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (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 (e0) (e0)) != (e2)) ### DisjTree 1373 504 1379 993 % 5.15/5.38 1381. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (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 (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e1) (e0)) != (op (e1) (e2))) ((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)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (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) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1357 978 1372 1380 % 5.15/5.38 1382. ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (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))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((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)) != (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) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1381 % 5.15/5.38 1383. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (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 (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e1) (e0)) != (op (e1) (e2))) ((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)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (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) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### ConjTree 1382 % 5.15/5.38 1384. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e3)) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### Or 1384 818 % 5.15/5.38 1386. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1385 1069 % 5.15/5.38 1387. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ### Or 1386 241 % 5.15/5.38 1388. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1387 1297 % 5.15/5.38 1389. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ### Or 1388 235 % 5.15/5.38 1390. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 5.15/5.38 1391. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 5.15/5.38 1392. ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 1390 1391 95 % 5.15/5.38 1393. ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((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) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1346 1337 1389 1392 % 5.15/5.39 1394. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((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 (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (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) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e1)) != (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 (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (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 (e2) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((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)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((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)) ((e0) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e1)) ### DisjTree 1303 1328 1345 1393 % 5.15/5.39 1395. 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(((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ### ConjTree 1394 % 5.15/5.39 1396. 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(((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (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 (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 1302 23 25 1076 1232 798 1395 148 1221 881 886 1224 892 % 5.15/5.39 1397. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### Or 1396 897 % 5.15/5.39 1398. ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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 (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 (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1299 1397 % 5.25/5.39 1399. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 1256 % 5.25/5.39 1400. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.25/5.39 1401. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1400 1237 386 865 % 5.25/5.39 1402. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1401 % 5.25/5.39 1403. 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(((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((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) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) != (e3)) ### Or 1403 208 % 5.25/5.39 1405. ((op (e2) (e2)) != (e3)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((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)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (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) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1404 880 % 5.25/5.39 1406. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((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) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e3)) ### Or 1405 932 % 5.25/5.39 1407. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (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 (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ### Or 1398 1406 % 5.25/5.39 1408. ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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 (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 (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1407 332 % 5.25/5.39 1409. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (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 (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ### Or 1408 168 % 5.25/5.40 1410. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (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 (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e0)) ### Or 1298 1409 % 5.25/5.40 1411. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### Or 1410 1389 % 5.25/5.40 1412. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (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 (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 1411 1231 % 5.25/5.40 1413. ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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 (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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))))) ### Or 1075 179 % 5.25/5.40 1414. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### Or 1412 1413 % 5.25/5.40 1415. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 685 % 5.25/5.40 1416. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((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))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 430 21 23 259 796 850 516 403 148 876 881 886 890 892 % 5.25/5.40 1417. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((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)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1416 897 % 5.25/5.40 1418. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((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)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 841 1417 % 5.25/5.40 1419. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### ConjTree 1418 % 5.25/5.40 1420. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 21 23 259 264 1415 798 266 148 1419 800 268 1086 892 % 5.25/5.40 1421. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e2)) != (e3)) ### Or 1420 831 % 5.25/5.40 1422. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e0) != (e3)) ((op (e2) (e2)) != (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ### DisjTree 2 252 16 21 257 259 264 925 798 266 148 1043 933 268 943 892 % 5.25/5.40 1423. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e2)) ((e0) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1422 128 % 5.25/5.40 1424. ((op (e2) (e2)) != (e3)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((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)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1421 1423 % 5.25/5.40 1425. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 5.25/5.40 1426. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 5.25/5.40 1427. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 5.25/5.40 1428. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 1425 1426 1427 % 5.25/5.40 1429. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.25/5.40 1430. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 1067 1428 1144 1429 % 5.25/5.40 1431. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 1430 % 5.25/5.40 1432. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ### DisjTree 2 252 16 951 257 259 264 1415 798 266 148 1431 800 953 954 892 % 5.25/5.40 1433. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1432 208 % 5.25/5.40 1434. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1433 932 % 5.25/5.40 1435. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e2)) != (e3)) ### Or 1424 1434 % 5.25/5.41 1436. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((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 (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1418 1423 % 5.25/5.41 1437. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((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))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 430 951 23 259 796 1415 516 403 148 1431 800 953 954 892 % 5.25/5.41 1438. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1437 208 % 5.25/5.41 1439. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((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))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1438 932 % 5.25/5.41 1440. ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (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 (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1436 1439 % 5.25/5.41 1441. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ### Or 1435 1440 % 5.25/5.41 1442. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((e1) != (e2)) ((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))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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 (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 (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (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 (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 1297 1219 % 5.25/5.41 1443. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (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 (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### Or 1072 179 % 5.25/5.41 1444. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (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 (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) (((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))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 1442 1443 % 5.25/5.41 1445. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 162 21 23 259 164 1415 570 169 171 963 800 268 173 892 % 5.25/5.41 1446. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1445 840 % 5.25/5.41 1447. ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((e1) != (e2)) ((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))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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 (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 (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (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 (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 1444 1446 % 5.25/5.41 1448. ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1441 1447 % 5.25/5.41 1449. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ### DisjTree 2 252 16 21 257 259 264 1415 798 266 148 1221 800 268 1224 892 % 5.25/5.41 1450. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1449 840 % 5.25/5.41 1451. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1450 168 % 5.25/5.41 1452. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e1) (e1)) != (e0)) ### Or 1448 1451 % 5.25/5.41 1453. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.25/5.41 1454. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 5.25/5.41 1455. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 5.25/5.41 1456. ((e1) != (e3)) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) = (e1)) ### TransEq 1454 1455 75 % 5.25/5.41 1457. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 1064 263 1453 1456 % 5.25/5.41 1458. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### ConjTree 1457 % 5.25/5.41 1459. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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))))) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ### DisjTree 2 252 16 21 257 259 264 1415 798 266 148 1031 800 268 1458 892 % 5.25/5.41 1460. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1459 840 % 5.25/5.41 1461. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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))))) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1460 246 % 5.25/5.41 1462. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((e1) != (e3)) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1461 235 % 5.25/5.42 1463. ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1452 1462 % 5.25/5.42 1464. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (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 (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 1414 1463 % 5.25/5.42 1465. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.25/5.42 1466. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.25/5.42 1467. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.25/5.42 1468. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.25/5.42 1469. (((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 (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 286 1468 87 1274 % 5.25/5.42 1470. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) = (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) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1467 295 136 1469 % 5.25/5.42 1471. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.25/5.42 1472. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.25/5.42 1473. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.25/5.42 1474. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 5.25/5.42 1475. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 5.25/5.42 1476. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 5.25/5.42 1477. ((e0) != (e1)) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) = (e1)) ### TransEq-sym 1475 1476 56 % 5.25/5.42 1478. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 5.25/5.42 1479. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 5.25/5.42 1480. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 5.25/5.42 1481. ((op (op (e3) (e3)) (op (e3) (e3))) != (op (e1) (e1))) ((op (e3) (e3)) = (e1)) ### NotEqual 1479 1480 % 5.25/5.42 1482. ((e0) != (op (op (e3) (e3)) (op (e3) (e3)))) ((op (e1) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) ### Trans-sym 1481 56 % 5.25/5.42 1483. ((op (op (e3) (e3)) (op (e3) (e3))) != (e0)) ((op (e1) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) ### Trans 1481 56 % 5.25/5.42 1484. ((op (op (op (e3) (e3)) (op (e3) (e3))) (e3)) != (op (e0) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e1)) = (e0)) ### NotEqual 1483 75 % 5.25/5.42 1485. ((e2) != (op (op (op (e3) (e3)) (op (e3) (e3))) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) ### Trans-sym 1484 48 % 5.25/5.42 1486. (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) ### DisjTree 1478 1482 1485 % 5.25/5.42 1487. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) ### DisjTree 993 1082 1477 1486 % 5.25/5.42 1488. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (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 (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 289 1099 1474 1487 % 5.25/5.42 1489. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) (((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 (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 807 1488 1311 940 % 5.25/5.42 1490. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 295 1473 323 1489 % 5.25/5.42 1491. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 286 1472 87 1490 % 5.25/5.42 1492. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1471 286 1491 1251 % 5.25/5.42 1493. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((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) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (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)) = (e2)) ((op (e1) (e1)) != (e3)) ((op (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 (e0) (e0)) != (e2)) ### DisjTree 1466 453 1470 1492 % 5.25/5.42 1494. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1465 1493 386 919 % 5.25/5.42 1495. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((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) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (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) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1494 % 5.25/5.42 1496. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.25/5.42 1497. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.25/5.42 1498. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.25/5.42 1499. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (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))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1498 286 1489 953 % 5.25/5.42 1500. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1497 453 1275 1499 % 5.25/5.42 1501. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (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)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1496 1500 386 919 % 5.25/5.42 1502. ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (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)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1501 % 5.25/5.42 1503. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((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) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 11 967 21 23 25 301 1049 798 1495 148 971 800 1502 1086 892 % 5.25/5.42 1504. ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (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)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (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) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1503 809 % 5.25/5.42 1505. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((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) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1504 1085 % 5.25/5.42 1506. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.25/5.42 1507. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.25/5.42 1508. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.25/5.42 1509. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.25/5.42 1510. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 286 1509 87 1488 % 5.25/5.42 1511. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e1) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 807 1510 68 1332 % 5.25/5.42 1512. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((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 (e1) (e0))) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1508 286 1511 1057 % 5.25/5.42 1513. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (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)) = (e2)) ((op (e1) (e1)) != (e3)) ((op (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 (e0) (e0)) != (e2)) ### DisjTree 1507 453 1470 1512 % 5.25/5.42 1514. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (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)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((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 (e1) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1506 1513 386 919 % 5.25/5.42 1515. ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (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) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (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)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1514 % 5.25/5.42 1516. ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (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)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1501 % 5.25/5.42 1517. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (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))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (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)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 11 16 21 23 25 301 925 798 1515 148 1043 933 1516 943 892 % 5.25/5.42 1518. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (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)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (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) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1517 128 % 5.25/5.42 1519. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (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))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (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)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1518 885 % 5.25/5.42 1520. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (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)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (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) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1505 1519 % 5.25/5.43 1521. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((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)) != (e2)) ((op (e2) (e2)) != (e2)) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1061 208 % 5.25/5.43 1522. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((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) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 1520 1521 % 5.25/5.43 1523. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e1) != (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((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)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 11 16 21 23 25 301 850 798 403 148 876 881 886 890 892 % 5.25/5.43 1524. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1523 897 % 5.25/5.43 1525. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((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)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 841 1524 % 5.25/5.43 1526. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.25/5.43 1527. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1526 1500 1278 919 % 5.25/5.43 1528. ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1527 % 5.25/5.43 1529. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (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 (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) (((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) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 16 21 23 25 796 925 516 403 148 1043 933 1528 943 892 % 5.25/5.43 1530. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1529 128 % 5.25/5.43 1531. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (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 (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) (((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) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1530 885 % 5.25/5.43 1532. ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((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 (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1525 1531 % 5.25/5.43 1533. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (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 (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e0)) ### Or 1532 1059 % 5.25/5.43 1534. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (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) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1522 1533 % 5.25/5.43 1535. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.25/5.43 1536. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1053 1535 218 1310 % 5.25/5.43 1537. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### ConjTree 1536 % 5.25/5.43 1538. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 789 162 21 23 25 164 1049 570 169 171 963 800 1537 173 892 % 5.25/5.43 1539. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1538 840 % 5.25/5.43 1540. ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((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) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ### Or 1534 1539 % 5.25/5.43 1541. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((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) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (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) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1494 % 5.25/5.43 1542. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 11 16 21 23 25 301 1049 798 1541 148 1221 800 1502 1224 892 % 5.25/5.43 1543. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (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) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ### Or 1542 840 % 5.25/5.43 1544. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1543 1328 % 5.25/5.43 1545. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1251 208 % 5.25/5.43 1546. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (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) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((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)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1544 1545 % 5.25/5.44 1547. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1546 332 % 5.25/5.44 1548. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (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) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((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)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1547 168 % 5.25/5.44 1549. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (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) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ### Or 1540 1548 % 5.25/5.44 1550. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e3)) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e1) (e0)) != (op (e1) (e2))) ((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)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### Or 1350 840 % 5.25/5.44 1551. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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)) != (e3)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1550 241 % 5.25/5.44 1552. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e3)) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### Or 1551 1539 % 5.25/5.44 1553. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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)) != (e3)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e2) (e3))) ### Or 1552 235 % 5.25/5.44 1554. ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((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) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ### Or 1549 1553 % 5.25/5.44 1555. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (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) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ### Or 1554 105 % 5.25/5.44 1556. ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((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) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ### Or 1555 116 % 5.25/5.44 1557. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (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) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ### Or 1556 256 % 5.25/5.44 1558. (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ### Or 1464 1557 % 5.25/5.44 1559. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (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 (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ### Or 1558 37 % 5.25/5.44 1560. (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ### Or 1559 15 % 5.25/5.45 1561. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (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 (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ### Or 1560 788 % 5.25/5.45 1562. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.25/5.45 1563. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 186 % 5.25/5.45 1564. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.25/5.45 1565. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.25/5.45 1566. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.25/5.45 1567. (((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 (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 61 1566 87 1274 % 5.25/5.45 1568. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 5.25/5.45 1569. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 5.25/5.45 1570. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 5.25/5.45 1571. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e0)) ((op (e3) (e3)) = (e0)) ### TransEq 1568 1569 1570 % 5.25/5.45 1572. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.25/5.45 1573. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 5.25/5.45 1574. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 5.25/5.45 1575. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ### DisjTree 1571 1572 1573 1574 % 5.25/5.45 1576. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 5.25/5.45 1577. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 5.25/5.45 1578. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 5.25/5.45 1579. ((op (op (e3) (e3)) (op (e3) (e3))) != (op (e0) (e0))) ((op (e3) (e3)) = (e0)) ### NotEqual 1577 1578 % 5.25/5.45 1580. ((e1) != (op (op (e3) (e3)) (op (e3) (e3)))) ((op (e0) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) ### Trans-sym 1579 95 % 5.25/5.45 1581. ((op (op (e3) (e3)) (op (e3) (e3))) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) ### Trans 1579 95 % 5.25/5.45 1582. ((op (op (op (e3) (e3)) (op (e3) (e3))) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e0)) = (e1)) ### NotEqual 1581 75 % 5.25/5.45 1583. ((e2) != (op (op (op (e3) (e3)) (op (e3) (e3))) (e3))) ((op (e1) (e3)) = (e2)) ((op (e0) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) ### Trans-sym 1582 48 % 5.25/5.45 1584. (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) = (e2)) ((op (e0) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) ### DisjTree 1576 1580 1583 % 5.25/5.45 1585. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 862 45 1575 1584 % 5.25/5.45 1586. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 57 1565 1567 1585 % 5.25/5.45 1587. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.25/5.45 1588. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e2)) ((op (e1) (e1)) != (e2)) (((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))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1586 1587 538 45 % 5.25/5.45 1589. (((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))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1564 120 136 1588 % 5.25/5.45 1590. 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(((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((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))))) ### DisjTree 1589 449 457 919 % 5.25/5.45 1591. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) (((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))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1590 % 5.25/5.45 1592. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.25/5.45 1593. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.25/5.45 1594. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1593 1119 457 1318 % 5.25/5.45 1595. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) (((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))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1586 449 1594 865 % 5.25/5.45 1596. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) ### DisjTree 1592 1595 990 950 % 5.25/5.45 1597. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1596 % 5.25/5.45 1598. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 99 1563 257 259 264 1415 1591 266 148 1031 1597 268 1458 892 % 5.25/5.45 1599. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.25/5.45 1600. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.25/5.45 1601. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.25/5.45 1602. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.25/5.45 1603. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 5.25/5.45 1604. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e3)) = (e1)) ((e1) != (e2)) ((op (e1) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 480 1310 375 1603 % 5.25/5.45 1605. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.25/5.45 1606. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e2)) ((e2) != (e3)) ((op (e1) (e3)) = (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ### DisjTree 476 685 1604 1605 % 5.25/5.45 1607. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 61 1602 87 1606 % 5.25/5.45 1608. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.25/5.45 1609. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) ((op (e2) (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)) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 61 1608 528 1310 % 5.25/5.45 1610. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 57 1601 1607 1609 % 5.25/5.45 1611. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) ((op (e2) (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)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1610 295 136 862 % 5.25/5.45 1612. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1600 1611 457 919 % 5.25/5.45 1613. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) ((op (e2) (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)) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) ### DisjTree 1599 1612 990 969 % 5.25/5.45 1614. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (e0)) ### DisjTree 1562 1598 303 1613 % 5.25/5.45 1615. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 1614 % 5.25/5.45 1616. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.25/5.45 1617. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.25/5.45 1618. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 5.25/5.45 1619. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 5.25/5.45 1620. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 5.25/5.45 1621. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 1618 1619 1620 % 5.25/5.45 1622. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 5.25/5.45 1623. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 5.25/5.45 1624. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 5.25/5.45 1625. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 1622 1623 1624 % 5.25/5.45 1626. (((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 (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 57 1617 1621 1625 % 5.25/5.45 1627. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 5.25/5.45 1628. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 5.25/5.45 1629. ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e1)) ### TransEq-sym 1627 1628 56 % 5.25/5.45 1630. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.25/5.45 1631. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1629 1428 1144 1630 % 5.25/5.45 1632. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (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 (e0) (e0)) != (e0)) ### DisjTree 1616 1626 429 1631 % 5.25/5.45 1633. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (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) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1632 % 5.25/5.45 1634. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e3) (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)) != (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ### ConjTree 1633 % 5.25/5.45 1635. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.25/5.45 1636. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1588 449 1594 865 % 5.25/5.45 1637. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e2)) ((op (e1) (e1)) != (e2)) (((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))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) ### DisjTree 1635 1636 282 862 % 5.25/5.45 1638. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 1637 % 5.25/5.45 1639. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 967 970 257 259 264 1415 1615 266 148 1634 1638 268 1086 892 % 5.25/5.45 1640. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((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) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### Or 1639 676 % 5.25/5.45 1641. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1640 1085 % 5.25/5.45 1642. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.25/5.45 1643. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.25/5.45 1644. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1119 1643 326 1098 % 5.25/5.45 1645. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 99 1563 257 259 264 925 1644 266 148 1031 933 268 943 892 % 5.25/5.45 1646. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.25/5.45 1647. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ((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 (e2) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### DisjTree 1645 1646 1099 905 % 5.25/5.45 1648. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (e0)) ((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 1642 1647 457 919 % 5.25/5.45 1649. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ((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 (e2) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1648 % 5.25/5.45 1650. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.25/5.45 1651. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.25/5.45 1652. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.25/5.45 1653. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.25/5.45 1654. (((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) != (e3)) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 57 1653 1567 1625 % 5.25/5.45 1655. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (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) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 1652 1270 298 1654 % 5.25/5.45 1656. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.25/5.45 1657. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 5.25/5.45 1658. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 5.25/5.45 1659. ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 1657 1658 56 % 5.25/5.45 1660. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (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)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1656 1100 1659 919 % 5.25/5.45 1661. (((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 (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (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))) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e0)) ### DisjTree 1651 1655 429 1660 % 5.25/5.45 1662. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (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) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((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)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1661 128 % 5.25/5.45 1663. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.25/5.45 1664. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.25/5.45 1665. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### ConjTree 990 % 5.25/5.45 1666. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### ConjTree 969 % 5.25/5.45 1667. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1613 % 5.25/5.45 1668. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### ConjTree 862 % 5.25/5.45 1669. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 1665 1666 257 259 264 1415 1667 266 148 1031 1668 268 1458 892 % 5.25/5.45 1670. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (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)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1669 783 % 5.25/5.45 1671. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 5.25/5.45 1672. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 5.25/5.45 1673. ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e1)) ### TransEq 1671 1672 75 % 5.25/5.45 1674. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.25/5.45 1675. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1629 1428 1673 1674 % 5.25/5.45 1676. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 1675 % 5.25/5.45 1677. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.25/5.45 1678. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.25/5.45 1679. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.25/5.45 1680. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.25/5.45 1681. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 457 145 1680 467 % 5.25/5.46 1682. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) ### DisjTree 524 68 1681 847 % 5.25/5.46 1683. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 57 1679 1682 1609 % 5.25/5.46 1684. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (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) (e2)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1683 295 859 862 % 5.25/5.46 1685. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1678 1684 457 476 % 5.25/5.46 1686. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (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) (e2)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) ### DisjTree 1677 1685 990 1675 % 5.25/5.46 1687. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((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 (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1686 % 5.25/5.46 1688. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 1665 1676 257 259 264 1415 1687 236 148 1031 881 886 1458 892 % 5.25/5.46 1689. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e1)) (((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)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1688 897 % 5.25/5.46 1690. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1670 1689 % 5.25/5.46 1691. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ((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 (e2) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1648 % 5.25/5.46 1692. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (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)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 1665 1666 257 259 264 925 1691 266 148 1031 933 268 943 892 % 5.25/5.46 1693. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (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)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1692 128 % 5.25/5.46 1694. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (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)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (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)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1693 885 % 5.25/5.46 1695. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (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)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1690 1694 % 5.25/5.46 1696. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.25/5.46 1697. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1696 256 1064 1067 % 5.25/5.46 1698. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### Or 1695 1697 % 5.25/5.46 1699. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (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)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (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))))) ### Or 1698 241 % 5.25/5.46 1700. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### Or 1699 246 % 5.25/5.46 1701. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (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)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (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))))) ### Or 1700 235 % 5.25/5.46 1702. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 5.25/5.46 1703. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 5.25/5.46 1704. ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 1702 1703 56 % 5.25/5.46 1705. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 5.25/5.46 1706. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e2)) = (e2)) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1704 905 1040 1705 % 5.25/5.46 1707. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1664 57 1701 1706 % 5.25/5.46 1708. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.25/5.46 1709. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 5.25/5.46 1710. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 289 348 1709 49 % 5.25/5.46 1711. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.25/5.46 1712. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 1343 1710 1711 375 % 5.25/5.46 1713. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 5.25/5.46 1714. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 5.25/5.46 1715. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 5.25/5.46 1716. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 1713 1714 1715 % 5.25/5.46 1717. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 5.25/5.46 1718. ((e1) != (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e3) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1133 95 % 5.25/5.46 1719. ((op (op (e2) (e2)) (op (e2) (e2))) != (e1)) ((op (e3) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans 1133 95 % 5.25/5.46 1720. ((op (op (op (e2) (e2)) (op (e2) (e2))) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e3)) ((op (e3) (e3)) = (e1)) ### NotEqual 1719 48 % 5.25/5.46 1721. ((e0) != (op (op (op (e2) (e2)) (op (e2) (e2))) (e2))) ((op (e1) (e2)) = (e0)) ((op (e3) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1720 56 % 5.25/5.46 1722. (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e3) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### DisjTree 1717 1718 1721 % 5.25/5.46 1723. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1629 924 1144 1722 % 5.25/5.46 1724. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((op (e3) (e2)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((e0) != (e3)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 1712 1716 1723 889 % 5.25/5.46 1725. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e2)) = (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 314 1708 1724 542 % 5.25/5.46 1726. (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) = (e2)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (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)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (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 (e3) (e3)) != (e0)) ((op (e3) (e2)) = (e2)) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e0)) ### DisjTree 1663 1707 429 1725 % 5.25/5.46 1727. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((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 (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (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 (e1) (e1)) != (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 (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((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 (e0) (e0)) != (e0)) ### DisjTree 1650 1120 1662 1726 % 5.25/5.46 1728. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((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)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### ConjTree 1727 % 5.25/5.46 1729. (((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 (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### Or 1729 128 % 5.25/5.47 1731. (((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 (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((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 (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (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 (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e0)) ((op (e0) (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)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e1) (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)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### Or 1730 885 % 5.25/5.47 1732. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1641 1731 % 5.25/5.47 1733. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.25/5.47 1734. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1733 256 342 1067 % 5.25/5.47 1735. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 1734 % 5.25/5.47 1736. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 1697 % 5.25/5.47 1737. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((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) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 1735 951 257 259 264 1415 1736 266 148 1431 1638 953 954 892 % 5.25/5.47 1738. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e1)) (((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) (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 (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1737 208 % 5.25/5.47 1739. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((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) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1738 880 % 5.25/5.47 1740. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((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) (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 (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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1739 932 % 5.25/5.47 1741. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((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) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((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 (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### Or 1732 1740 % 5.25/5.47 1742. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.25/5.47 1743. (((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) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 919 685 375 1742 % 5.25/5.47 1744. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((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 (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (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))))) ### Or 1743 672 % 5.25/5.47 1745. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 430 1676 257 259 264 1415 516 266 148 876 881 886 890 892 % 5.25/5.47 1746. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e1)) (((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)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (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 (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1745 897 % 5.25/5.47 1747. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (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)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((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) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1744 1746 % 5.25/5.47 1748. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.25/5.47 1749. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.25/5.47 1750. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 5.25/5.47 1751. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((e0) != (e3)) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 457 68 1750 1725 % 5.25/5.47 1752. ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((e0) != (e2)) ((op (e2) (e2)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 314 1749 1751 542 % 5.25/5.47 1753. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e2)) ((e0) != (e1)) ((op (e1) (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)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1748 1100 1752 919 % 5.25/5.47 1754. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((op (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 (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1753 % 5.25/5.47 1755. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e0)) (((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))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((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)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### ConjTree 1727 % 5.25/5.47 1756. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (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 (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e2)) ((op (e1) (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)) ((op (e1) (e1)) != (e2)) ((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)) != (e1)) (((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)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 430 1754 257 259 264 925 1649 403 148 1755 933 268 943 892 % 5.25/5.47 1757. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (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 (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((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 (e1) (e1)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((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)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### Or 1756 128 % 5.25/5.47 1758. (((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 (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (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 (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e2)) ((op (e1) (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)) ((op (e1) (e1)) != (e2)) ((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)) != (e1)) (((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)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### Or 1757 885 % 5.25/5.48 1759. ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (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 (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((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 (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1747 1758 % 5.25/5.48 1760. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.25/5.48 1761. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((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))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((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) (e0)) != (e0)) ### DisjTree 1760 1654 1734 950 % 5.25/5.48 1762. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1761 % 5.25/5.48 1763. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 1735 951 257 259 264 1415 516 403 148 1431 1762 953 890 892 % 5.25/5.48 1764. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) (((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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1763 208 % 5.25/5.48 1765. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1764 932 % 5.25/5.48 1766. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((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) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((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) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((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)) != (e1)) ### Or 1759 1765 % 5.25/5.48 1767. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1741 1766 % 5.25/5.48 1768. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.25/5.48 1769. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1119 1768 168 1189 % 5.25/5.48 1770. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### ConjTree 1769 % 5.25/5.48 1771. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.25/5.48 1772. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1771 1119 566 1318 % 5.25/5.48 1773. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 1772 % 5.25/5.48 1774. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.25/5.48 1775. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1119 1774 168 1098 % 5.25/5.48 1776. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### ConjTree 1775 % 5.25/5.48 1777. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 220 99 1563 106 25 628 1770 570 169 171 963 1773 1776 173 892 % 5.25/5.48 1778. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1777 250 % 5.25/5.48 1779. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### Or 10 1778 % 5.35/5.48 1780. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.35/5.48 1781. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.35/5.48 1782. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 5.35/5.48 1783. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 5.35/5.48 1784. ((e2) != (op (op (e3) (e3)) (op (e3) (e3)))) ((op (e1) (e1)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans-sym 1481 48 % 5.35/5.48 1785. ((op (op (e3) (e3)) (op (e3) (e3))) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans 1481 48 % 5.35/5.48 1786. ((op (op (op (e3) (e3)) (op (e3) (e3))) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e1)) = (e2)) ### NotEqual 1785 75 % 5.35/5.48 1787. ((e0) != (op (op (op (e3) (e3)) (op (e3) (e3))) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e1)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans-sym 1786 56 % 5.35/5.48 1788. (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e0)) ((op (e1) (e1)) = (e2)) ((op (e3) (e3)) = (e1)) ### DisjTree 1783 1784 1787 % 5.35/5.48 1789. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 5.35/5.48 1790. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 5.35/5.48 1791. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e2) (e3)) = (e0)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e0)) ### DisjTree 1782 1788 1789 1790 % 5.35/5.48 1792. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 5.35/5.48 1793. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) = (e2)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) ### DisjTree 480 940 1791 1792 % 5.35/5.48 1794. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e3)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e1) (e1)) = (e2)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 61 1781 110 1793 % 5.35/5.48 1795. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.35/5.48 1796. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 61 1795 110 1310 % 5.35/5.48 1797. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 57 1794 145 1796 % 5.35/5.48 1798. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e2)) ((e2) != (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 1780 1119 566 1797 % 5.35/5.48 1799. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) ((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))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 1798 % 5.35/5.48 1800. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.35/5.48 1801. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.35/5.48 1802. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.35/5.48 1803. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 5.35/5.48 1804. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) = (e2)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 289 348 1803 1791 % 5.35/5.48 1805. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e3)) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) ((e0) != (e1)) ((op (e2) (e1)) = (e1)) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 57 1804 145 1310 % 5.35/5.48 1806. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((e2) != (e3)) ((op (e1) (e3)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 449 1802 1805 924 % 5.35/5.48 1807. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.35/5.48 1808. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1807 57 246 1056 % 5.35/5.48 1809. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e3)) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (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) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1801 61 1806 1808 % 5.35/5.48 1810. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.35/5.48 1811. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.35/5.48 1812. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 61 1811 937 940 % 5.35/5.48 1813. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### ConjTree 1808 % 5.35/5.48 1814. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (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 (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1813 99 951 117 25 164 1214 570 146 171 963 1773 953 173 892 % 5.35/5.48 1815. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (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 (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1814 208 % 5.35/5.48 1816. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (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)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1815 880 % 5.35/5.48 1817. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1810 1812 289 1816 % 5.35/5.48 1818. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.35/5.48 1819. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 314 1818 937 940 % 5.35/5.48 1820. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (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)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((e2) != (e3)) ((op (e1) (e3)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e0)) ### DisjTree 1800 1809 1817 1819 % 5.35/5.48 1821. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1820 % 5.35/5.48 1822. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e2)) ((e2) != (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)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1799 162 1563 117 25 164 952 570 169 171 963 1773 1821 173 892 % 5.35/5.48 1823. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((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))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1822 180 % 5.35/5.48 1824. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.35/5.48 1825. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 5.35/5.48 1826. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 298 937 1825 847 % 5.35/5.48 1827. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) != (e0)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1824 120 1826 1772 % 5.35/5.48 1828. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e2)) ((e2) != (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)) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 1823 1827 % 5.35/5.48 1829. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((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))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### Or 1828 1816 % 5.35/5.48 1830. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e2)) ((e2) != (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)) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 1829 246 % 5.35/5.48 1831. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((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))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### Or 1830 179 % 5.35/5.49 1832. ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1779 1831 % 5.35/5.49 1833. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 162 1563 257 259 164 1415 570 169 171 963 1773 268 173 892 % 5.35/5.49 1834. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (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 (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) = (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1833 840 % 5.35/5.49 1835. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ### Or 1832 1834 % 5.35/5.49 1836. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### Or 10 105 % 5.35/5.49 1837. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 1836 116 % 5.35/5.49 1838. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 1837 256 % 5.35/5.49 1839. ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ### Or 1835 1838 % 5.35/5.49 1840. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ### Or 1839 186 % 5.35/5.49 1841. ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ### Or 1840 65 % 5.35/5.49 1842. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ### ConjTree 1841 % 5.35/5.49 1843. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e0) (e3)) = (e0)) ((op (e2) (e2)) != (op (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 (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 162 951 257 259 264 1214 570 266 171 963 1668 268 173 892 % 5.35/5.49 1844. (((op (e3) (e3)) != (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 (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) = (e2)) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1843 756 % 5.35/5.49 1845. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 5.35/5.49 1846. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### DisjTree 1844 1098 1673 1845 % 5.35/5.49 1847. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 5.35/5.49 1848. (((op (e3) (e3)) != (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 (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) = (e2)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 1704 1846 1193 1847 % 5.35/5.49 1849. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.35/5.49 1850. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (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 (e3) (e3)) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e3)) = (e0)) ((op (e2) (e2)) != (op (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 (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (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 (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1629 1428 1848 1849 % 5.35/5.49 1851. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e3) (e3)) != (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 (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) ((op (e2) (e2)) = (e2)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 1850 % 5.35/5.49 1852. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.35/5.49 1853. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.35/5.49 1854. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.35/5.49 1855. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 5.35/5.49 1856. ((e2) != (op (op (e3) (e3)) (op (e3) (e3)))) ((op (e0) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) ### Trans-sym 1579 48 % 5.35/5.49 1857. ((op (op (e3) (e3)) (op (e3) (e3))) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) ### Trans 1579 48 % 5.35/5.49 1858. ((op (op (op (e3) (e3)) (op (e3) (e3))) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e0)) = (e2)) ### NotEqual 1857 75 % 5.35/5.49 1859. ((e1) != (op (op (op (e3) (e3)) (op (e3) (e3))) (e3))) ((op (e2) (e3)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) ### Trans-sym 1858 95 % 5.35/5.49 1860. (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) ### DisjTree 1855 1856 1859 % 5.35/5.49 1861. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.35/5.49 1862. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 5.35/5.49 1863. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 5.35/5.49 1864. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) = (e2)) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ### DisjTree 1860 1861 1862 1863 % 5.35/5.49 1865. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.35/5.49 1866. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) = (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ### DisjTree 865 219 1864 1865 % 5.35/5.49 1867. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1866 453 524 1318 % 5.35/5.49 1868. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1854 1867 1659 865 % 5.35/5.49 1869. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.35/5.49 1870. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.35/5.49 1871. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 5.35/5.49 1872. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 395 45 193 1860 % 5.35/5.49 1873. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 342 124 1871 1872 % 5.35/5.49 1874. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 295 1870 1873 1197 % 5.35/5.49 1875. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1874 453 566 1318 % 5.35/5.49 1876. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1869 1875 1659 865 % 5.35/5.49 1877. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) ### DisjTree 1853 1868 1876 950 % 5.35/5.49 1878. (((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))))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((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)) != (e0)) ### DisjTree 1852 1772 1877 862 % 5.35/5.49 1879. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((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 1878 % 5.35/5.50 1880. (((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))))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ### ConjTree 1879 % 5.35/5.50 1881. ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 1851 257 259 164 1415 570 169 171 963 1880 268 173 892 % 5.35/5.50 1882. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (e2)) ### Or 1881 713 % 5.35/5.50 1883. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.35/5.50 1884. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.35/5.50 1885. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 286 1884 1366 1310 % 5.35/5.50 1886. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1053 1883 218 1885 % 5.35/5.50 1887. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((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))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### ConjTree 1886 % 5.35/5.50 1888. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((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 (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 162 1676 1887 259 264 1415 570 266 171 963 881 886 173 892 % 5.35/5.50 1889. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) = (e2)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1888 897 % 5.35/5.50 1890. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ### Or 1882 1889 % 5.35/5.50 1891. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 5.35/5.50 1892. (((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 1704 1098 1193 1891 % 5.35/5.50 1893. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (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))))) ### ConjTree 1892 % 5.35/5.50 1894. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### ConjTree 1197 % 5.35/5.50 1895. ((op (e3) (e3)) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e3) (e3)) != (e2)) ((op (e3) (e1)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 1893 1894 259 164 925 570 169 171 963 933 268 173 892 % 5.35/5.50 1896. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e3)) ((op (e3) (e3)) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e1)) ### Or 1895 128 % 5.35/5.50 1897. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e3) (e1)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 1896 885 % 5.35/5.50 1898. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 1890 1897 % 5.35/5.50 1899. (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((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) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((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 (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### Or 1767 1898 % 5.35/5.50 1900. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.35/5.50 1901. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1900 1237 1659 919 % 5.35/5.50 1902. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1901 % 5.35/5.50 1903. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.35/5.50 1904. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.35/5.50 1905. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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) (e1)) = (e2)) ((op (e2) (e2)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 99 1563 257 259 264 925 1644 266 148 1221 933 268 943 892 % 5.35/5.50 1906. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e0)) ((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 (e2) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 120 1904 977 1905 % 5.35/5.50 1907. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.35/5.50 1908. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.35/5.50 1909. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 5.35/5.50 1910. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 289 1095 1909 1009 % 5.35/5.50 1911. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.35/5.50 1912. (((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)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1911 585 1659 390 % 5.35/5.50 1913. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((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 1912 % 5.37/5.50 1914. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((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 (e3) (e3)) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((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 (e1) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (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) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 1735 951 257 259 411 1913 326 266 148 1431 1402 953 954 892 % 5.37/5.50 1915. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e3) (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))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((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 (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1914 208 % 5.37/5.50 1916. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((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))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((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 (e1) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (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) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1915 932 % 5.37/5.50 1917. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e3) (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))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((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 (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1908 61 1910 1916 % 5.37/5.50 1918. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.37/5.50 1919. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.37/5.50 1920. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.37/5.50 1921. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 5.37/5.50 1922. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 5.37/5.50 1923. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 5.37/5.50 1924. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 1921 1922 1923 % 5.37/5.50 1925. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 5.37/5.50 1926. ((e1) != (op (op (e3) (e3)) (op (e3) (e3)))) ((op (e2) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) ### Trans-sym 1000 95 % 5.37/5.50 1927. ((op (op (e3) (e3)) (op (e3) (e3))) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) ### Trans 1000 95 % 5.37/5.50 1928. ((op (op (op (e3) (e3)) (op (e3) (e3))) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) = (e1)) ### NotEqual 1927 75 % 5.37/5.50 1929. ((e0) != (op (op (op (e3) (e3)) (op (e3) (e3))) (e3))) ((op (e1) (e3)) = (e0)) ((op (e2) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) ### Trans-sym 1928 56 % 5.37/5.50 1930. (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) = (e0)) ((op (e2) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) ### DisjTree 1925 1926 1929 % 5.37/5.50 1931. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e3)) ((e2) != (e3)) ((op (e1) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ### DisjTree 993 996 889 1930 % 5.37/5.50 1932. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((e0) != (e2)) ((op (e1) (e3)) = (e0)) ((e2) != (e3)) ((op (e2) (e3)) = (e3)) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 342 263 1931 1456 % 5.37/5.50 1933. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 61 1920 1924 1932 % 5.37/5.50 1934. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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 (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e3)) = (e3)) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1919 1933 1910 1916 % 5.37/5.50 1935. ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e3)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((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 (e1) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1918 1237 386 1934 % 5.37/5.50 1936. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((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))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((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 (e1) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e0)) ### DisjTree 1907 1917 1935 1675 % 5.37/5.50 1937. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1613 % 5.37/5.50 1938. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 967 1666 257 259 264 1415 1937 266 148 1634 1668 268 1086 892 % 5.37/5.51 1939. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1938 752 % 5.37/5.51 1940. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1939 1085 % 5.37/5.51 1941. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((op (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 (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1101 % 5.37/5.51 1942. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ### ConjTree 1726 % 5.37/5.51 1943. (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (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 (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (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 (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e1) (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)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 967 1941 257 259 264 925 1649 266 148 1942 933 268 943 892 % 5.37/5.51 1944. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (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))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ### Or 1943 128 % 5.37/5.51 1945. (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (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 (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (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 (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e3)) != (e0)) ((op (e0) (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)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e1) (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)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### Or 1944 885 % 5.37/5.51 1946. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((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) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1940 1945 % 5.37/5.51 1947. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 1735 951 257 259 264 1415 1736 266 148 1431 1668 953 954 892 % 5.37/5.51 1948. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((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 (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1947 208 % 5.37/5.51 1949. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1948 932 % 5.37/5.51 1950. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### Or 1946 1949 % 5.37/5.51 1951. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((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 (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (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))))) ### Or 1743 757 % 5.37/5.51 1952. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.37/5.51 1953. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (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 (e0) (e0)) != (e0)) ### DisjTree 1952 1626 429 1675 % 5.37/5.51 1954. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1953 % 5.37/5.51 1955. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e3) (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) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 430 1676 486 259 264 1415 516 266 148 1954 881 886 890 892 % 5.38/5.51 1956. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e1)) (((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 (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (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) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1955 897 % 5.38/5.51 1957. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) != (op (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)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((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) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1951 1956 % 5.38/5.51 1958. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((op (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 (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1753 % 5.38/5.51 1959. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ### ConjTree 1726 % 5.38/5.51 1960. ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e2)) ((op (e1) (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)) ((op (e1) (e1)) != (e2)) ((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)) != (e1)) (((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)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 430 1958 257 259 264 1415 516 403 148 1959 1668 268 943 892 % 5.38/5.52 1961. 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((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 (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e3) (e1))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e2)) ### Or 1960 128 % 5.38/5.52 1962. ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e2)) ((op (e1) (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)) ((op (e1) (e1)) != (e2)) ((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)) != (e1)) (((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)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### Or 1961 885 % 5.38/5.52 1963. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((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 (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1957 1962 % 5.38/5.52 1964. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((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) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((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 (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### Or 1963 1765 % 5.38/5.52 1965. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((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) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1950 1964 % 5.38/5.52 1966. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e3) (e3)) != (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 (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (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) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) ((op (e2) (e2)) = (e2)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 1850 % 5.38/5.52 1967. 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(((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 1966 604 259 164 1415 570 169 171 963 1668 268 173 892 % 5.38/5.52 1968. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) != (e2)) ### Or 1967 781 % 5.38/5.52 1969. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 1968 1889 % 5.38/5.52 1970. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 1969 1897 % 5.38/5.52 1971. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### Or 1965 1970 % 5.38/5.52 1972. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1301 332 % 5.38/5.52 1973. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 1972 168 % 5.38/5.52 1974. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((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) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### Or 1971 1973 % 5.38/5.52 1975. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((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 (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((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))) ((e1) != (e2)) (((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 (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (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 (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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)) = (e2)) ((op (e2) (e2)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e0)) ### DisjTree 1903 1906 1936 1974 % 5.38/5.53 1976. 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(((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) != (e0)) (((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))))) ((e1) != (e2)) ((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) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### ConjTree 1975 % 5.38/5.53 1977. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((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 (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) != (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 (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (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 (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (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) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 1902 1302 257 259 411 1415 326 266 148 1221 1402 268 1976 892 % 5.38/5.53 1978. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### Or 1977 435 % 5.38/5.53 1979. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.38/5.53 1980. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.38/5.53 1981. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.38/5.53 1982. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.38/5.53 1983. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 5.38/5.53 1984. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 5.38/5.53 1985. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=) % 5.38/5.53 1986. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq 1983 1984 1985 % 5.38/5.53 1987. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 5.38/5.53 1988. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((e0) != (e2)) ((op (e1) (e3)) = (e0)) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 289 323 1987 1931 % 5.38/5.53 1989. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1659 1986 1988 1673 % 5.38/5.53 1990. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((e0) != (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((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)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 61 1982 1924 1989 % 5.38/5.53 1991. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (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) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e0) != (e2)) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1981 1990 289 1067 % 5.38/5.53 1992. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((e0) != (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((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)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1980 256 342 1991 % 5.38/5.53 1993. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((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)) != (e3)) (((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)) != (e0)) ((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)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1979 1237 1659 1992 % 5.38/5.53 1994. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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 (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((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 1993 % 5.38/5.53 1995. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((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 (e2) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) != (e0)) (((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))))) ((e1) != (e2)) ((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) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### ConjTree 1975 % 5.38/5.53 1996. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((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 (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((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 (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((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)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (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) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 1994 1676 257 259 264 1415 326 266 148 1221 881 886 1995 892 % 5.38/5.53 1997. 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### Or 1996 897 % 5.38/5.53 1998. ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((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 (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) != (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 (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (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 (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (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) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### Or 1978 1997 % 5.38/5.53 1999. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (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) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 1902 1102 257 259 411 925 1649 266 148 1221 933 268 943 892 % 5.38/5.53 2000. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1999 128 % 5.38/5.53 2001. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (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) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2000 885 % 5.38/5.53 2002. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ### Or 1998 2001 % 5.38/5.53 2003. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((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 (e3) (e3)) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (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) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 1735 951 257 259 411 1415 326 266 148 1431 1402 953 954 892 % 5.38/5.53 2004. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((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 (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2003 208 % 5.38/5.53 2005. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((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))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (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) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2004 932 % 5.38/5.53 2006. ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((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 (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) != (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 (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (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) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### Or 2002 2005 % 5.38/5.54 2007. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ### Or 2006 332 % 5.38/5.54 2008. ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((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 (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) != (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 (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (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) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### Or 2007 168 % 5.38/5.54 2009. ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ### Or 1899 2008 % 5.38/5.54 2010. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 1614 % 5.38/5.54 2011. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 1697 % 5.38/5.54 2012. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 1665 970 257 259 264 1415 2010 266 148 1634 2011 268 1458 892 % 5.38/5.54 2013. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((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) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 2012 783 % 5.38/5.54 2014. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.38/5.54 2015. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((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)) != (e0)) ### DisjTree 2014 982 990 1675 % 5.38/5.54 2016. (((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 (e1) (e3)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2013 2015 % 5.38/5.54 2017. ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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) (e0)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (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)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 967 970 257 259 264 925 1649 236 148 1031 933 268 943 892 % 5.38/5.54 2018. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (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)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ### Or 2017 128 % 5.38/5.54 2019. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (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)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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) (e0)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (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)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2018 885 % 5.38/5.54 2020. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2016 2019 % 5.38/5.54 2021. (((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 (e1) (e3)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((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) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### Or 2020 1697 % 5.38/5.54 2022. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2021 241 % 5.38/5.54 2023. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ### Or 1898 168 % 5.38/5.54 2024. (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((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 (e1) (e3)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((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) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### Or 2022 2023 % 5.38/5.54 2025. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ### Or 2024 235 % 5.38/5.55 2026. (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((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) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((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 (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e1) (e2))) ### Or 2009 2025 % 5.38/5.55 2027. ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ### Or 2026 685 % 5.38/5.55 2028. (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((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) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((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 (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e1) (e2))) ### Or 2027 1986 % 5.38/5.55 2029. ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ### Or 2028 256 % 5.38/5.55 2030. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### Or 1974 1701 % 5.38/5.55 2031. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((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) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (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)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### Or 2030 685 % 5.38/5.55 2032. ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### Or 2031 1986 % 5.38/5.55 2033. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((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) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (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)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ### Or 2032 256 % 5.38/5.55 2034. (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((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) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((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 (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e1) (e2))) ### Or 2029 2033 % 5.38/5.55 2035. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.38/5.55 2036. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.38/5.55 2037. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((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)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2036 295 298 869 % 5.38/5.55 2038. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((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 (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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2035 2037 1659 919 % 5.38/5.55 2039. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((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)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 2038 439 % 5.38/5.55 2040. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.38/5.55 2041. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.38/5.55 2042. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2041 61 1712 1430 % 5.38/5.55 2043. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e2)) ((op (e1) (e1)) = (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)) != (e0)) ### DisjTree 2040 2042 429 1675 % 5.38/5.55 2044. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2043 % 5.38/5.55 2045. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (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)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 430 1676 257 259 264 1913 304 266 148 2044 881 886 890 892 % 5.38/5.55 2046. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (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))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e2)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2045 897 % 5.38/5.55 2047. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((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 (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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((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)) != (op (e1) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2039 2046 % 5.38/5.55 2048. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((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 (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (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))) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1662 885 % 5.38/5.55 2049. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((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)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2047 2048 % 5.38/5.56 2050. (((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 (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) (((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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1763 672 % 5.38/5.56 2051. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2050 932 % 5.38/5.56 2052. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((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)) != (op (e1) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 2049 2051 % 5.38/5.56 2053. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### Or 282 2052 % 5.38/5.56 2054. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 395 % 5.38/5.56 2055. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1877 % 5.38/5.56 2056. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ### ConjTree 2055 % 5.38/5.56 2057. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (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 (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 162 2054 257 259 164 1415 570 169 171 963 2056 268 173 892 % 5.38/5.56 2058. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (((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)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2057 840 % 5.38/5.56 2059. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (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) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 162 2054 257 259 264 1415 304 266 171 963 881 886 173 892 % 5.38/5.56 2060. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2059 897 % 5.38/5.56 2061. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (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 (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2058 2060 % 5.38/5.56 2062. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((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)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 162 2054 1894 259 164 1415 570 169 171 963 933 268 173 892 % 5.38/5.56 2063. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (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)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2062 128 % 5.38/5.56 2064. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (((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)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2061 2063 % 5.38/5.56 2065. (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((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)) != (op (e1) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 2053 2064 % 5.38/5.56 2066. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1901 435 % 5.38/5.56 2067. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((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)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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 (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((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 1993 % 5.38/5.56 2068. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e3) (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))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((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 (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (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 (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1936 % 5.38/5.56 2069. ((op (e3) (e3)) != (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) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((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 (e1) (e1)) != (op (e3) (e1))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((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)) != (e3)) (((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)) != (e0)) ((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)) ((op (e1) (e1)) != (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) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 2067 1676 257 259 411 1913 326 266 148 1221 881 886 2068 892 % 5.38/5.56 2070. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((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)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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 (e1) (e2))) (((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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2069 897 % 5.38/5.56 2071. (((op (e3) (e3)) != (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) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (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) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((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)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (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) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2066 2070 % 5.38/5.56 2072. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (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) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2066 885 % 5.38/5.56 2073. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2071 2072 % 5.38/5.56 2074. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (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) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((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)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (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) (e2)) != (e2)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2073 1916 % 5.38/5.56 2075. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (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)) != (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 2074 332 % 5.38/5.57 2076. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (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) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((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)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((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)) ((op (e1) (e1)) != (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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2075 168 % 5.38/5.57 2077. ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ### Or 2065 2076 % 5.38/5.57 2078. (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((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)) != (op (e1) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e1) (e2))) ### Or 2077 336 % 5.38/5.57 2079. ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ### Or 2078 685 % 5.38/5.57 2080. (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((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)) != (op (e1) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e1) (e2))) ### Or 2079 1986 % 5.38/5.57 2081. ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ### Or 2080 256 % 5.38/5.57 2082. (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) 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(((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e1) (e2))) ### Or 2081 395 % 5.38/5.57 2083. ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ### Or 2034 2082 % 5.38/5.57 2084. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 1120 % 5.38/5.57 2085. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1636 % 5.38/5.57 2086. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 99 1563 257 259 264 1415 1591 266 148 2084 2085 268 1086 892 % 5.38/5.57 2087. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2086 269 % 5.38/5.57 2088. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2087 1085 % 5.38/5.57 2089. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 99 1563 257 259 264 925 1644 266 148 2084 933 268 943 892 % 5.38/5.57 2090. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2089 128 % 5.38/5.57 2091. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2088 2090 % 5.38/5.57 2092. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1598 840 % 5.38/5.57 2093. 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(((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2092 2015 % 5.38/5.57 2094. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 1645 128 % 5.38/5.57 2095. ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2093 2094 % 5.38/5.57 2096. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.38/5.57 2097. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.38/5.57 2098. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2097 120 136 1586 % 5.38/5.58 2099. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2098 1838 1064 1067 % 5.38/5.58 2100. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e0)) ### DisjTree 2096 2099 990 950 % 5.38/5.58 2101. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2100 % 5.38/5.58 2102. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1596 % 5.38/5.58 2103. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 99 951 257 259 264 1415 2101 236 148 1431 2102 953 954 892 % 5.38/5.58 2104. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((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) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2103 208 % 5.38/5.58 2105. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2104 880 % 5.38/5.58 2106. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((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) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2105 932 % 5.38/5.58 2107. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 2095 2106 % 5.38/5.58 2108. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((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))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 99 951 257 259 264 1415 2108 266 148 1431 2085 953 954 892 % 5.38/5.58 2110. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((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) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e3) (e1))) (((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 (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ### Or 2109 208 % 5.38/5.58 2111. ((op (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### Or 2110 880 % 5.38/5.58 2112. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((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) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 2111 932 % 5.38/5.58 2113. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (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) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 2091 2112 % 5.38/5.58 2114. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((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))))) ### ConjTree 1120 % 5.38/5.58 2115. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((e0) != (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)) ((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))))) ### ConjTree 869 % 5.38/5.58 2116. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((e2) != (e3)) (((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))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 99 1563 257 259 264 1415 516 266 148 2114 2115 268 890 892 % 5.38/5.58 2117. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (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)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2116 840 % 5.38/5.58 2118. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (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))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 99 1563 257 259 264 925 1644 266 148 2114 933 268 943 892 % 5.38/5.58 2119. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((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 (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2118 128 % 5.38/5.58 2120. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e2) != (e3)) (((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 (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2117 2119 % 5.38/5.58 2121. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.38/5.58 2122. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) = (e2)) (((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 (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) ### DisjTree 2121 1595 429 950 % 5.38/5.58 2123. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2122 % 5.38/5.58 2124. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((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)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 430 951 257 259 264 1415 516 403 148 1431 2123 953 954 892 % 5.38/5.58 2125. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e1)) (((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) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2124 208 % 5.38/5.59 2126. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (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 (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((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)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2125 880 % 5.38/5.59 2127. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (((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) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2126 932 % 5.38/5.59 2128. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e1)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 2120 2127 % 5.38/5.59 2129. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e2) (e0)) != (op (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) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 2113 2128 % 5.38/5.59 2130. (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (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) (e1)) != (op (e3) (e1))) (((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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 2129 1835 % 5.38/5.59 2131. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.38/5.59 2132. (((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 (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 120 2131 323 933 % 5.38/5.59 2133. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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)) = (e2)) ((op (e2) (e2)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 1906 % 5.38/5.59 2134. ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e0) != (e3)) ((op (e1) (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 (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 99 1563 257 259 264 1415 326 266 148 1221 2132 268 2133 892 % 5.38/5.59 2135. (((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 (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (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 (e1) (e1)) != (e3)) ((e0) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ### Or 2134 435 % 5.38/5.59 2136. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (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 (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 252 99 951 257 259 411 1415 326 266 148 1221 2132 953 954 892 % 5.38/5.59 2137. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((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 (e1) (e1)) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2136 436 % 5.38/5.59 2138. ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e0) != (e3)) ((op (e1) (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 (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2135 2137 % 5.38/5.59 2139. (((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 (e2) (e2)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (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 (e1) (e1)) != (e3)) ((e0) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ### Or 2138 332 % 5.38/5.59 2140. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e0) != (e3)) ((op (e1) (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 (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2139 168 % 5.38/5.59 2141. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e2) (e0)) != (op (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) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 2130 2140 % 5.38/5.59 2142. ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((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)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 2107 241 % 5.38/5.59 2143. (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 2142 1835 % 5.38/5.59 2144. ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((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)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e3) (e1))) (((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 (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 2143 235 % 5.38/5.59 2145. (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (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) (e1)) != (op (e3) (e1))) (((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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 2141 2144 % 5.38/5.59 2146. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e2) (e0)) != (op (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) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 2145 685 % 5.38/5.60 2147. ((op (e1) (e1)) != (op (e1) (e2))) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (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) (e1)) != (op (e3) (e1))) (((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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 2146 1986 % 5.38/5.60 2148. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e2) (e0)) != (op (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) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ### Or 2147 1838 % 5.38/5.60 2149. ((op (e1) (e1)) != (op (e1) (e2))) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (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) (e1)) != (op (e3) (e1))) (((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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 2148 186 % 5.38/5.60 2150. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (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 (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e2) (e0)) != (op (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) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ### Or 2149 65 % 5.38/5.60 2151. (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((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))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((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) (e3))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((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 (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e1) (e2))) ### Or 2083 2150 % 5.38/5.60 2152. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 1463 256 % 5.38/5.60 2153. (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2152 37 % 5.38/5.60 2154. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 2153 15 % 5.38/5.60 2155. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (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)) = (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) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ### Or 2151 2154 % 5.38/5.60 2156. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.38/5.60 2157. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.38/5.60 2158. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.38/5.60 2159. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.38/5.60 2160. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 5.38/5.60 2161. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.38/5.60 2162. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 5.38/5.60 2163. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 5.38/5.60 2164. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 5.38/5.60 2165. ((op (op (e1) (e1)) (op (e1) (e1))) != (op (e3) (e3))) ((op (e1) (e1)) = (e3)) ### NotEqual 2163 2164 % 5.38/5.60 2166. ((e2) != (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 2165 48 % 5.38/5.60 2167. ((op (op (e1) (e1)) (op (e1) (e1))) != (e2)) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans 2165 48 % 5.38/5.60 2168. ((op (op (op (e1) (e1)) (op (e1) (e1))) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((op (e3) (e3)) = (e2)) ### NotEqual 2167 95 % 5.38/5.60 2169. ((e0) != (op (op (op (e1) (e1)) (op (e1) (e1))) (e1))) ((op (e2) (e1)) = (e0)) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 2168 56 % 5.38/5.60 2170. (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### DisjTree 2162 2166 2169 % 5.38/5.60 2171. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) ### DisjTree 2159 2160 2161 2170 % 5.38/5.60 2172. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 1704 1189 1193 2171 % 5.38/5.60 2173. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (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 (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 453 2158 348 2172 % 5.38/5.60 2174. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 1119 2157 2173 369 % 5.38/5.60 2175. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (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 (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((e1) != (e2)) ((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)) ### DisjTree 2156 2174 566 480 % 5.38/5.60 2176. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (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) != (e2)) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 2175 % 5.38/5.60 2177. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.38/5.60 2178. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 2177 1053 246 1704 % 5.38/5.60 2179. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### ConjTree 2178 % 5.38/5.60 2180. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.38/5.60 2181. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 5.38/5.60 2182. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 5.38/5.60 2183. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) = (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 919 96 1864 2182 % 5.38/5.60 2184. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1053 2181 218 2183 % 5.38/5.60 2185. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.38/5.60 2186. (((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 (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2185 295 298 1318 % 5.38/5.60 2187. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 2184 453 524 2186 % 5.38/5.60 2188. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 2187 % 5.38/5.60 2189. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.38/5.60 2190. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 2189 1270 298 1274 % 5.38/5.60 2191. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### ConjTree 2190 % 5.38/5.60 2192. ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 2054 2188 25 164 1913 304 169 171 963 2056 2191 173 892 % 5.38/5.60 2193. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (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 (e1) (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 2180 1837 2192 567 % 5.38/5.60 2194. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e2)) ### ConjTree 2193 % 5.38/5.60 2195. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.38/5.60 2196. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 2195 1053 246 1056 % 5.38/5.61 2197. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### ConjTree 2196 % 5.38/5.61 2198. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 11 162 2179 2194 25 301 1049 570 169 171 963 2197 1537 173 892 % 5.38/5.61 2199. ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ### Or 2198 703 % 5.38/5.61 2200. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ((op (e2) (e2)) != (e0)) ### Or 2199 1886 % 5.38/5.61 2201. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) (((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)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 11 162 2179 1894 25 301 925 570 169 171 963 933 1537 173 892 % 5.38/5.61 2202. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) != (op (e2) (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) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2201 128 % 5.38/5.61 2203. ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ### Or 2200 2202 % 5.38/5.61 2204. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ((op (e2) (e2)) != (e0)) ### Or 2203 2196 % 5.38/5.61 2205. ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ### Or 2204 168 % 5.38/5.61 2206. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ((op (e2) (e2)) != (e0)) ### ConjTree 2205 % 5.38/5.61 2207. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.38/5.61 2208. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.38/5.61 2209. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.38/5.61 2210. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 5.38/5.61 2211. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 5.38/5.61 2212. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 5.38/5.61 2213. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq-sym 2210 2211 2212 % 5.38/5.61 2214. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) ### DisjTree 2209 1049 342 2213 % 5.38/5.61 2215. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (e0)) ### DisjTree 2208 219 2214 2175 % 5.38/5.61 2216. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((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))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e0)) ### DisjTree 2207 1769 1912 2215 % 5.38/5.61 2217. ((op (e0) (e0)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2216 % 5.38/5.61 2218. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.38/5.61 2219. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.38/5.61 2220. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 5.38/5.61 2221. (((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)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (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 (e0) (e0)) != (e2)) ### DisjTree 2220 504 457 480 % 5.38/5.61 2222. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((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 (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (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)) ### DisjTree 2219 1197 2221 919 % 5.38/5.61 2223. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (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) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (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 (e0) (e0)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2222 % 5.38/5.61 2224. (((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 (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((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 (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e0)) ### DisjTree 2218 1776 2190 2223 % 5.38/5.61 2225. ((op (e0) (e0)) != (e0)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (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 (e0) (e0)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((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 2224 % 5.38/5.61 2226. ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e1)) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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 (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e2)) ((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 (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 11 162 2176 2206 25 164 2217 570 169 171 963 1880 2225 173 892 % 5.38/5.61 2227. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e3) (e3)) != (e0)) ### Or 2226 713 % 5.38/5.61 2228. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.38/5.61 2229. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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) (e2)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 220 162 1563 106 25 164 1770 570 169 171 963 1773 886 173 892 % 5.38/5.61 2230. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (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) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2229 897 % 5.38/5.61 2231. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 5.38/5.61 2232. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### DisjTree 2230 2231 2172 844 % 5.38/5.61 2233. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (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) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (e0)) ### DisjTree 2228 219 2214 2232 % 5.38/5.61 2234. ((op (e0) (e0)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2233 % 5.38/5.61 2235. ((op (e3) (e3)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e1) (e1)) != (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 2176 1887 25 164 2234 570 169 171 963 881 886 173 892 % 5.38/5.62 2236. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ### Or 2235 897 % 5.38/5.62 2237. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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 (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e2)) ((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 (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### Or 2227 2236 % 5.38/5.62 2238. ((op (e0) (e0)) != (e0)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (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 (e0) (e0)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((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 2224 % 5.38/5.62 2239. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) (((op (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) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 11 162 1893 1894 25 164 925 570 169 171 963 933 2238 173 892 % 5.38/5.62 2240. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (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))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((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 (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2239 128 % 5.38/5.62 2241. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((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 (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2240 885 % 5.38/5.62 2242. ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e0) (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) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((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 (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ### Or 2237 2241 % 5.38/5.62 2243. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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))))) ((e1) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (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) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1813 162 951 2206 25 164 1214 570 169 171 963 1879 953 173 892 % 5.38/5.62 2244. ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e1) != (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e3) (e3)) != (e1)) ### Or 2243 576 % 5.38/5.62 2245. ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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))))) ((e1) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (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) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (e0)) ### Or 2244 880 % 5.38/5.62 2246. ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e1) != (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) ### Or 2245 932 % 5.38/5.62 2247. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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 (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e2)) ((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 (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### Or 2242 2246 % 5.52/5.62 2248. ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e0) (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) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((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 (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ### Or 2247 168 % 5.52/5.62 2249. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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 (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e2)) ((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 (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### Or 2248 246 % 5.52/5.62 2250. ((op (e0) (e0)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((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)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2216 % 5.52/5.62 2251. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.52/5.62 2252. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (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))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1813 99 951 106 25 628 1214 570 169 171 963 1773 953 173 892 % 5.52/5.62 2253. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.52/5.62 2254. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.52/5.62 2255. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 2187 % 5.52/5.63 2256. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (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 (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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)) = (e0)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 11 162 2054 2255 25 164 1049 570 169 171 963 2056 1537 173 892 % 5.52/5.63 2257. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e0) (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 (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((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)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (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 (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (((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)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2256 840 % 5.52/5.63 2258. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (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 (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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)) = (e0)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2257 1886 % 5.52/5.63 2259. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((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)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 11 162 2054 1894 25 164 1049 570 169 171 963 933 1537 173 892 % 5.52/5.63 2260. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (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) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2259 128 % 5.52/5.63 2261. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e0) (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 (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((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)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (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 (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (((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)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2258 2260 % 5.52/5.63 2262. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.52/5.63 2263. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 5.52/5.63 2264. (((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))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2263 295 298 1866 % 5.52/5.63 2265. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((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))))) ### DisjTree 2264 1053 303 1056 % 5.52/5.63 2266. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (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 (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1874 1053 336 1056 % 5.52/5.63 2267. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e0)) != (op (e2) (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))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (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) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e0)) ### DisjTree 2262 2265 2266 950 % 5.52/5.63 2268. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((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 (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) (((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2267 % 5.52/5.63 2269. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e0)) != (op (e2) (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))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (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) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 11 162 951 2268 25 301 1214 304 169 171 963 2055 953 173 892 % 5.52/5.63 2270. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((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 (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) (((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (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) (e0)) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2269 208 % 5.52/5.63 2271. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e0)) != (op (e2) (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))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (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) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2270 880 % 5.52/5.63 2272. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((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 (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) (((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (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) (e0)) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2271 932 % 5.52/5.63 2273. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (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 (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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)) = (e0)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2261 2272 % 5.52/5.63 2274. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e0) (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 (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((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)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (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 (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((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) (e0)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 2273 168 % 5.52/5.63 2275. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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)) = (e0)) ((op (e2) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2274 105 % 5.52/5.63 2276. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (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 (e0) (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 (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((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)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (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 (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((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) (e0)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 2275 116 % 5.52/5.63 2277. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (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) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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)) = (e0)) ((op (e2) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e1)) ### DisjTree 2254 2276 342 1067 % 5.52/5.63 2278. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (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 (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((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) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) ### DisjTree 2253 1868 2277 950 % 5.52/5.63 2279. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((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) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e3)) ((e0) != (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 (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### ConjTree 2278 % 5.52/5.64 2280. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (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 (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((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) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ### ConjTree 2279 % 5.52/5.64 2281. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (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) != (e2)) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 2175 % 5.52/5.64 2282. ((op (e0) (e0)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2215 % 5.52/5.64 2283. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((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 (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 220 162 2281 106 25 628 2282 570 169 171 963 1668 1083 173 892 % 5.52/5.64 2284. (-. 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(((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (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 (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (e0)) ### DisjTree 2251 2252 2280 2283 % 5.52/5.64 2285. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (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) (e0)) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((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 (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (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) (e0)) != (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 (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (e1) (e2)) != (op (e3) (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)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (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))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 220 162 951 106 25 628 1214 570 169 171 963 2284 1083 173 892 % 5.52/5.64 2286. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((e2) != (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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (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 (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (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) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### ConjTree 2285 % 5.52/5.64 2287. ((op (e3) (e3)) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 2176 106 25 164 2250 570 169 171 963 2286 1083 173 892 % 5.52/5.64 2288. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e3)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ### Or 2287 713 % 5.52/5.64 2289. ((op (e0) (e0)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2233 % 5.52/5.64 2290. ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((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 (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 220 162 2176 106 25 628 2289 570 169 171 963 881 886 173 892 % 5.52/5.64 2291. 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(((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (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) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((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)) != (op (e0) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ### Or 2290 897 % 5.52/5.64 2292. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 2288 2291 % 5.52/5.64 2293. ((op (e3) (e3)) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) ((op (e3) (e3)) != (e2)) ((op (e3) (e1)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 1893 1894 25 164 925 570 169 171 963 933 1083 173 892 % 5.52/5.64 2294. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e3)) ((op (e3) (e3)) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ### Or 2293 128 % 5.52/5.64 2295. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) ((op (e3) (e1)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 2294 885 % 5.52/5.64 2296. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ### Or 2292 2295 % 5.52/5.65 2297. ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (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) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((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 (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ### Or 2249 2296 % 5.52/5.65 2298. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.52/5.65 2299. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((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 (e0) (e0)) != (e1)) ### DisjTree 2298 567 911 476 % 5.52/5.65 2300. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (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))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2299 % 5.52/5.65 2301. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.52/5.65 2302. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.52/5.65 2303. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 5.52/5.65 2304. (((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 (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 61 2303 110 1274 % 5.52/5.65 2305. ((op (e0) (e0)) != (e1)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e1)) != (op (e1) (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 (e0) (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 (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (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 (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((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 (e0) (e0)) != (e0)) ### DisjTree 2302 2304 2277 950 % 5.52/5.65 2306. (((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))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (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 (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 2301 1815 2305 862 % 5.52/5.65 2307. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (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 (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((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 (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (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 (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 2306 % 5.52/5.65 2308. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 5.52/5.65 2309. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 5.52/5.65 2310. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((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 (e0) (e0)) != (e1)) ### DisjTree 2309 567 911 919 % 5.52/5.65 2311. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e3)) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (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 (e0) (e0)) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e0)) ### DisjTree 2308 1820 2190 2310 % 5.52/5.65 2312. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (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)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((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) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (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) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2311 % 5.52/5.65 2313. ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (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) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e3) (e3)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e0)) ### Or 2313 713 % 5.52/5.65 2315. ((op (e3) (e3)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 2300 117 25 164 952 570 146 171 963 881 886 173 892 % 5.52/5.65 2316. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 2315 897 % 5.52/5.65 2317. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (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) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 2314 2316 % 5.52/5.65 2318. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (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 (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((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 (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (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 (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 2306 % 5.52/5.65 2319. ((op (e3) (e3)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (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 (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (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) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1813 162 951 117 25 164 952 570 146 171 963 2318 953 173 892 % 5.52/5.65 2320. ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (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 (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (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 (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((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 (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (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 (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### Or 2319 661 % 5.52/5.65 2321. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (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 (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (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) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e1)) ### Or 2320 880 % 5.52/5.66 2322. ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 2317 2321 % 5.52/5.66 2323. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (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) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 2322 607 % 5.52/5.66 2324. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 2323 246 % 5.52/5.66 2325. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 2324 179 % 5.52/5.66 2326. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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 (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e2)) ((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 (e2) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### Or 2297 2325 % 5.52/5.66 2327. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 2023 685 % 5.52/5.66 2328. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e3)) ### Or 2327 1986 % 5.52/5.66 2329. ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (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) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((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 (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ### Or 2326 2328 % 5.52/5.66 2330. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### Or 2205 246 % 5.52/5.66 2331. ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ### Or 2330 105 % 5.52/5.66 2332. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### Or 2331 116 % 5.52/5.66 2333. ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ### Or 2332 256 % 5.52/5.66 2334. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e2)) ((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 (e2) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ### Or 2329 2333 % 5.52/5.66 2335. ((op (e0) (e0)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2215 % 5.52/5.66 2336. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 2281 604 25 164 2335 570 169 171 963 1668 2223 173 892 % 5.52/5.67 2337. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ### Or 2336 751 % 5.52/5.67 2338. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e2)) ((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 (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 11 162 2281 1887 25 164 2335 570 169 171 963 881 886 173 892 % 5.52/5.67 2339. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e0) (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) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2338 897 % 5.52/5.67 2340. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 2337 2339 % 5.52/5.67 2341. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (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 (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((e0) != (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) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1813 162 951 604 25 164 1214 570 169 171 963 1668 953 173 892 % 5.52/5.67 2342. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (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 (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2341 208 % 5.52/5.67 2343. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((e0) != (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) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2342 880 % 5.52/5.67 2344. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 2340 2343 % 5.52/5.67 2345. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((e1) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2283 751 % 5.52/5.67 2346. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (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) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 2344 2345 % 5.52/5.67 2347. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 2346 2299 % 5.52/5.67 2348. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 1970 168 % 5.52/5.67 2349. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 2348 685 % 5.52/5.67 2350. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 2349 1986 % 5.52/5.67 2351. ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (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) (e3)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ### Or 2347 2350 % 5.52/5.67 2352. ((op (e3) (e3)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 2179 604 25 164 1049 570 169 171 963 1668 1537 173 892 % 5.52/5.67 2353. ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) ### Or 2352 777 % 5.52/5.68 2354. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e3)) ### Or 2353 246 % 5.52/5.68 2355. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e2)) ### Or 2354 105 % 5.52/5.68 2356. ((op (e1) (e1)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (e1)) ### Or 2355 116 % 5.52/5.68 2357. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e0) (e3)) = (e0)) ### Or 2356 256 % 5.52/5.68 2358. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ### Or 2351 2357 % 5.52/5.68 2359. ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (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) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ### Or 2334 2358 % 5.52/5.68 2360. ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e0)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e3)) ### Or 2192 406 % 5.52/5.68 2361. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) = (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) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 11 162 2054 1887 25 164 1913 570 169 171 963 881 886 173 892 % 5.52/5.68 2362. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (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) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2361 897 % 5.52/5.68 2363. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e0)) ### Or 2360 2362 % 5.52/5.68 2364. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### ConjTree 2190 % 5.52/5.68 2365. ((op (e3) (e3)) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 2054 1894 25 164 925 570 169 171 963 933 2364 173 892 % 5.52/5.68 2366. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (e2)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e3)) ### Or 2365 128 % 5.52/5.68 2367. ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e0)) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 2363 2366 % 5.52/5.68 2368. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e0)) != (op (e2) (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))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (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) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e0)) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) ### ConjTree 2268 % 5.52/5.68 2369. ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (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))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 951 2368 25 164 1214 304 169 171 963 2280 953 173 892 % 5.52/5.68 2370. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (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 (e0) (e0)) != (e1)) ### Or 2369 406 % 5.52/5.69 2371. ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e1)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (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))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e0)) ### Or 2370 880 % 5.52/5.69 2372. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (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 (e0) (e0)) != (e1)) ### Or 2371 932 % 5.52/5.69 2373. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e0)) ### Or 2367 2372 % 5.52/5.69 2374. ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 2373 168 % 5.52/5.69 2375. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (e0)) ### Or 2374 246 % 5.52/5.69 2376. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e0) (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))))) ### ConjTree 1912 % 5.52/5.69 2377. (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e3)) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 2054 106 25 164 2376 570 169 171 963 2280 2191 173 892 % 5.52/5.69 2378. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e0)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (e2)) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ### Or 2377 840 % 5.52/5.69 2379. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (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 (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (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) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e0)) ### DisjTree 53 220 162 2054 106 25 628 2376 304 169 171 963 881 886 173 892 % 5.52/5.69 2380. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2379 897 % 5.52/5.69 2381. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 2378 2380 % 5.52/5.69 2382. ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e0)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ### Or 2381 2366 % 5.52/5.69 2383. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 2382 168 % 5.52/5.69 2384. ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 2375 2383 % 5.52/5.69 2385. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) ((op (e0) (e0)) != (e0)) (((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)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((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 (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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)) = (e0)) ((op (e2) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e0)) != (e1)) ### ConjTree 2305 % 5.52/5.70 2386. ((op (e3) (e3)) != (e3)) ((op (e0) (e0)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### DisjTree 53 1842 162 2054 117 25 164 952 570 169 171 963 2385 2191 173 892 % 5.52/5.70 2387. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (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) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ### Or 2386 840 % 5.52/5.70 2388. ((op (e0) (e0)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ### Or 2387 179 % 5.52/5.70 2389. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (e0)) ### Or 2384 2388 % 5.52/5.70 2390. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2064 168 % 5.52/5.70 2391. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((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) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2390 685 % 5.52/5.70 2392. ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2391 1986 % 5.52/5.70 2393. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 2389 2392 % 5.52/5.70 2394. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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)) = (e0)) ((op (e2) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 2276 256 % 5.52/5.70 2395. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (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) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ### Or 2393 2394 % 5.52/5.70 2396. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 2395 395 % 5.52/5.70 2397. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ### Or 2359 2396 % 5.52/5.70 2398. ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (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) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (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))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ### Or 2397 1841 % 5.52/5.70 2399. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((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) (e1)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (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 (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((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)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 1539 116 % 5.52/5.70 2400. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ### Or 2399 256 % 5.61/5.71 2401. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (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 (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((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))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ### Or 1447 2400 % 5.61/5.71 2402. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((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 (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e2)) (((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 (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ### Or 2398 2401 % 5.61/5.71 2403. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (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) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) ### ConjTree 2403 % 5.61/5.71 2405. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (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))))) (-. (((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ ((((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) /\ ((((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) /\ ((((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) /\ ((((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) /\ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e2) (e2)) != (e2)))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))) ### ConjTree 2404 % 5.61/5.71 2406. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (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 (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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ### ConjTree 2405 % 5.61/5.71 2407. 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(((e1) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (e1)) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e2) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ ((e0) = (op (op (op (e2) (e2)) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e1) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e0) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (e3) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (op (e3) (e3)) (op (e3) (e3))) (e3)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ ((e0) = (op (op (op (e1) (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 2407 % 5.61/5.71 % SZS output end Proof % 5.61/5.71 (* END-PROOF *) %------------------------------------------------------------------------------