%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG158+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 : n032.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 18:06:03 EDT 2022 % Result : Unsatisfiable 10.67s 10.93s % Output : Proof 10.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.11 % Problem : ALG158+1 : TPTP v8.1.0. Released v2.7.0. % 0.05/0.11 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.10/0.31 % Computer : n032.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 600 % 0.10/0.31 % DateTime : Wed Jun 8 16:11:36 EDT 2022 % 0.10/0.31 % CPUTime : % 10.67/10.93 % SZS status Theorem % 10.67/10.93 (* PROOF-FOUND *) % 10.67/10.93 (* BEGIN-PROOF *) % 10.67/10.93 % SZS output start Proof % 10.67/10.93 1. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 10.67/10.93 2. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ ((op (e0) (e0)) = (e0)))) ### ConjTree 1 % 10.67/10.93 3. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.67/10.93 4. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.67/10.93 5. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 10.67/10.93 6. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 3 4 5 % 10.67/10.93 7. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 6 % 10.67/10.93 8. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=) % 10.67/10.93 9. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=) % 10.67/10.93 10. ((e1) != (e1)) ### NotEqual % 10.67/10.93 11. ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e0)) ### TransEq 8 9 10 % 10.67/10.93 12. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ### ConjTree 11 % 10.67/10.93 13. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.67/10.93 14. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.67/10.93 15. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 10.67/10.93 16. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq 13 14 15 % 10.67/10.93 17. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 16 % 10.67/10.93 18. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.67/10.93 19. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.67/10.93 20. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=) % 10.67/10.93 21. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 18 19 20 % 10.67/10.93 22. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 21 % 10.67/10.93 23. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 10.67/10.93 24. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 10.67/10.93 25. ((e0) != (e0)) ### NotEqual % 10.67/10.93 26. ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) ### TransEq-sym 23 24 25 % 10.67/10.93 27. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### ConjTree 26 % 10.67/10.93 28. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.67/10.93 29. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.67/10.93 30. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 10.67/10.93 31. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq 28 29 30 % 10.67/10.93 32. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 31 % 10.67/10.93 33. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 10.67/10.93 34. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 10.67/10.93 35. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 10.67/10.93 36. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 33 34 35 % 10.67/10.93 37. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 36 % 10.67/10.93 38. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 10.67/10.93 39. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 10.67/10.93 40. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 10.67/10.93 41. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 38 39 40 % 10.67/10.93 42. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 41 % 10.67/10.93 43. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 10.67/10.93 44. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 10.67/10.93 45. ((e2) != (e2)) ### NotEqual % 10.67/10.93 46. ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e0)) ### TransEq 43 44 45 % 10.67/10.93 47. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.67/10.93 48. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 10.67/10.93 49. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 10.67/10.93 50. ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 48 49 10 % 10.67/10.93 51. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.67/10.93 52. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.67/10.93 53. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 10.67/10.93 54. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e3)) = (e1)) ### TransEq 51 52 53 % 10.67/10.93 55. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.67/10.93 56. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 10.67/10.93 57. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 10.67/10.93 58. ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ### TransEq 56 57 45 % 10.67/10.93 59. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 10.67/10.93 60. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 10.67/10.93 61. ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e1)) ### TransEq-sym 59 60 25 % 10.67/10.93 62. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 55 31 58 61 % 10.67/10.93 63. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.67/10.93 64. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.67/10.93 65. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 10.67/10.93 66. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 63 64 65 % 10.67/10.93 67. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.67/10.93 68. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.67/10.93 69. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 10.67/10.93 70. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 10.67/10.93 71. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 69 70 25 % 10.67/10.93 72. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.67/10.93 73. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.67/10.93 74. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 10.67/10.93 75. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq 72 73 74 % 10.67/10.93 76. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 10.67/10.93 77. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 10.67/10.93 78. ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 76 77 10 % 10.67/10.93 79. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 68 71 75 78 % 10.67/10.94 80. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.67/10.94 81. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.67/10.94 82. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 10.67/10.94 83. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 10.67/10.94 84. ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 82 83 10 % 10.67/10.94 85. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.67/10.94 86. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.67/10.94 87. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=) % 10.67/10.94 88. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) = (e2)) ### TransEq 85 86 87 % 10.67/10.94 89. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 10.67/10.94 90. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 10.67/10.94 91. ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 89 90 25 % 10.67/10.94 92. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 81 84 88 91 % 10.67/10.94 93. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 10.67/10.94 94. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 10.67/10.94 95. ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 93 94 25 % 10.67/10.94 96. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.67/10.94 97. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 10.67/10.94 98. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 10.67/10.94 99. ((e0) != (e2)) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 97 98 25 % 10.67/10.94 100. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 66 96 79 99 % 10.67/10.94 101. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 10.67/10.94 102. ((op (e1) (op (e1) (e1))) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) ### NotEqual 10 101 % 10.67/10.94 103. ((op (e1) (op (e1) (e1))) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans 102 45 % 10.67/10.94 104. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 10.67/10.94 105. ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) != (op (e2) (e3))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e2)) ### NotEqual 103 104 % 10.67/10.94 106. ((e0) != (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 105 25 % 10.67/10.94 107. ((e2) != (op (e1) (op (e1) (e1)))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 102 45 % 10.67/10.94 108. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 10.67/10.94 109. (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e2) (e3)) = (e0)) ### DisjTree 106 107 108 % 10.67/10.94 110. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.67/10.94 111. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.67/10.94 112. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 10.67/10.94 113. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) ((op (e3) (e3)) = (e0)) ### TransEq 110 111 112 % 10.67/10.94 114. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 21 100 109 113 % 10.67/10.94 115. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 10.67/10.94 116. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 10.67/10.94 117. ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 115 116 10 % 10.67/10.94 118. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 10.67/10.94 119. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 10.67/10.94 120. ((e3) != (e3)) ### NotEqual % 10.67/10.94 121. ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ### TransEq 118 119 120 % 10.67/10.94 122. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((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 (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 95 114 117 121 % 10.67/10.94 123. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 80 92 122 % 10.67/10.94 124. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 66 67 79 123 % 10.67/10.94 125. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.67/10.94 126. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 10.67/10.94 127. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 10.67/10.94 128. ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) = (e2)) ### TransEq-sym 126 127 10 % 10.67/10.94 129. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 125 92 128 % 10.67/10.94 130. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (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)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 62 124 129 % 10.67/10.94 131. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 47 26 50 130 % 10.67/10.94 132. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 6 11 46 131 % 10.67/10.94 133. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (((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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 132 36 % 10.67/10.94 134. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 10.67/10.94 135. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 10.67/10.94 136. ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 134 135 10 % 10.67/10.94 137. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 10.67/10.94 138. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 10.67/10.94 139. ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 137 138 25 % 10.67/10.94 140. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 10.67/10.94 141. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 10.67/10.94 142. ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 140 141 10 % 10.67/10.94 143. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 10.67/10.94 144. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 10.67/10.94 145. ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 143 144 25 % 10.67/10.94 146. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 10.67/10.94 147. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 10.67/10.94 148. ((e2) != (e3)) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 146 147 45 % 10.67/10.94 149. (((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)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 95 145 148 % 10.67/10.94 150. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 71 139 149 % 10.67/10.94 151. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 10.67/10.94 152. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 10.67/10.94 153. ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 151 152 25 % 10.67/10.94 154. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.67/10.94 155. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.67/10.94 156. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 10.67/10.94 157. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 154 155 156 % 10.67/10.94 158. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 71 139 78 % 10.67/10.94 159. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 150 26 153 158 % 10.67/10.94 160. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 133 159 % 10.67/10.94 161. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (((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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### ConjTree 160 % 10.67/10.94 162. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.67/10.94 163. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.67/10.94 164. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 10.67/10.94 165. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 10.67/10.94 166. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 10.67/10.94 167. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 164 165 166 % 10.67/10.94 168. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.67/10.94 169. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.67/10.94 170. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 10.67/10.94 171. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq 168 169 170 % 10.67/10.94 172. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 10.67/10.94 173. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 10.67/10.94 174. ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e1)) ### TransEq 172 173 45 % 10.67/10.94 175. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 10.67/10.94 176. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 10.67/10.94 177. ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) = (e1)) ### TransEq-sym 175 176 25 % 10.67/10.94 178. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.67/10.94 179. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.67/10.94 180. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 10.67/10.94 181. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) = (e1)) ### TransEq 178 179 180 % 10.67/10.94 182. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 10.67/10.94 183. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 10.67/10.94 184. ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 182 183 25 % 10.67/10.94 185. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 10.67/10.94 186. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 10.67/10.94 187. ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 185 186 45 % 10.67/10.94 188. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.67/10.94 189. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.67/10.94 190. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 10.67/10.94 191. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 188 189 190 % 10.67/10.94 192. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 10.67/10.94 193. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 10.67/10.94 194. ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e1)) ### TransEq 192 193 120 % 10.67/10.94 195. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.67/10.94 196. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.67/10.94 197. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 10.67/10.94 198. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 195 196 197 % 10.67/10.94 199. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 10.67/10.94 200. ((op (e2) (op (e2) (e2))) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 45 199 % 10.67/10.94 201. ((op (e2) (op (e2) (e2))) != (e1)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans 200 10 % 10.67/10.94 202. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 10.67/10.94 203. ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) != (op (e1) (e3))) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e1)) ### NotEqual 201 202 % 10.67/10.94 204. ((e0) != (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e1) (e3)) = (e0)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 203 25 % 10.67/10.94 205. ((e1) != (op (e2) (op (e2) (e2)))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 200 10 % 10.67/10.94 206. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 10.67/10.94 207. (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) = (e0)) ### DisjTree 204 205 206 % 10.67/10.94 208. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 10.67/10.94 209. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 10.67/10.94 210. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 10.67/10.94 211. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 208 209 210 % 10.67/10.94 212. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.67/10.94 213. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.67/10.94 214. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 10.67/10.94 215. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq 212 213 214 % 10.67/10.94 216. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 10.67/10.94 217. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 10.67/10.94 218. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 10.67/10.94 219. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 216 217 218 % 10.67/10.94 220. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ### DisjTree 207 211 215 219 % 10.67/10.94 221. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 191 194 198 220 % 10.67/10.94 222. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 10.67/10.94 223. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 10.67/10.94 224. ((e1) != (e3)) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) = (e1)) ### TransEq 222 223 120 % 10.67/10.94 225. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 184 187 221 224 % 10.67/10.94 226. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 177 174 181 225 % 10.67/10.94 227. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 31 174 226 % 10.67/10.94 228. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 10.67/10.94 229. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 10.67/10.94 230. ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 228 229 10 % 10.67/10.94 231. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 227 95 230 148 % 10.67/10.94 232. (((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))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 163 167 75 231 % 10.67/10.94 233. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) = (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 (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 162 26 232 79 % 10.67/10.94 234. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e1)) (((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 (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 6 11 233 92 % 10.67/10.94 235. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((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 (e0) (e0)) != (e1)) (((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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 234 16 % 10.67/10.94 236. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e1)) (((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 (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 235 % 10.67/10.94 237. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.67/10.94 238. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.67/10.94 239. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 10.67/10.94 240. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ### TransEq-sym 237 238 239 % 10.67/10.94 241. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.67/10.94 242. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.67/10.94 243. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 10.67/10.94 244. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 10.67/10.94 245. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 10.67/10.94 246. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq-sym 243 244 245 % 10.67/10.94 247. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 84 242 246 215 % 10.67/10.94 248. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 241 71 50 247 % 10.67/10.94 249. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.67/10.94 250. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 10.67/10.94 251. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 10.67/10.94 252. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 10.67/10.94 253. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 250 251 252 % 10.67/10.94 254. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 249 71 253 78 % 10.67/10.94 255. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 240 26 248 254 % 10.67/10.94 256. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 255 36 % 10.67/10.94 257. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 256 16 % 10.67/10.94 258. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (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) (e1)) != (op (e0) (e2))) ### ConjTree 257 % 10.67/10.94 259. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.67/10.94 260. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.67/10.94 261. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.67/10.94 262. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 10.67/10.94 263. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq-sym 260 261 262 % 10.67/10.94 264. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.67/10.94 265. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.67/10.94 266. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 10.67/10.94 267. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 264 265 266 % 10.67/10.94 268. (((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)) = (e1)) ((e1) != (e2)) ### DisjTree 84 259 263 267 % 10.67/10.94 269. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((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))))) ### Or 268 36 % 10.67/10.94 270. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (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) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 269 % 10.67/10.94 271. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.67/10.94 272. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.67/10.94 273. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.67/10.94 274. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 10.67/10.94 275. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 272 273 274 % 10.67/10.94 276. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 275 % 10.67/10.94 277. (((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)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 95 271 117 276 % 10.67/10.94 278. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.67/10.94 279. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.67/10.94 280. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.67/10.94 281. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 10.67/10.94 282. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq 279 280 281 % 10.67/10.94 283. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.67/10.94 284. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 95 283 187 194 % 10.67/10.94 285. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.67/10.94 286. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.67/10.94 287. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 10.67/10.94 288. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) = (e0)) ### TransEq 285 286 287 % 10.67/10.94 289. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.67/10.94 290. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.67/10.94 291. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 10.67/10.94 292. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 289 290 291 % 10.67/10.94 293. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.67/10.94 294. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.67/10.94 295. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 10.67/10.94 296. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e2)) ### TransEq 293 294 295 % 10.67/10.94 297. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.67/10.94 298. (((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 (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 288 292 296 297 % 10.67/10.94 299. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 10.67/10.94 300. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 10.67/10.94 301. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 299 300 25 % 10.67/10.94 302. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.67/10.94 303. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.67/10.94 304. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 10.67/10.94 305. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 10.67/10.94 306. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 10.67/10.94 307. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq 304 305 306 % 10.67/10.94 308. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 10.67/10.94 309. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 10.67/10.94 310. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 10.67/10.94 311. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 308 309 310 % 10.67/10.94 312. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 10.67/10.94 313. ((op (e1) (op (e1) (e1))) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ### NotEqual 10 312 % 10.67/10.94 314. ((op (e1) (op (e1) (e1))) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans 313 120 % 10.67/10.94 315. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 10.67/10.94 316. ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) ### NotEqual 314 315 % 10.67/10.94 317. ((e0) != (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 316 25 % 10.67/10.94 318. ((e3) != (op (e1) (op (e1) (e1)))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 313 120 % 10.67/10.94 319. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 10.67/10.94 320. (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e3) (e2)) = (e0)) ### DisjTree 317 318 319 % 10.67/10.94 321. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 10.67/10.94 322. ((op (e3) (op (e3) (e3))) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ### NotEqual 120 321 % 10.67/10.94 323. ((op (e3) (op (e3) (e3))) != (e1)) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) ### Trans 322 10 % 10.67/10.94 324. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 10.67/10.94 325. ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) != (op (e1) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) = (e1)) ### NotEqual 323 324 % 10.67/10.94 326. ((e0) != (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) ((op (e1) (e2)) = (e0)) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) ### Trans-sym 325 25 % 10.67/10.94 327. ((e1) != (op (e3) (op (e3) (e3)))) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) ### Trans-sym 322 10 % 10.67/10.94 328. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 10.67/10.94 329. (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) = (e0)) ### DisjTree 326 327 328 % 10.67/10.94 330. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.67/10.94 331. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.67/10.94 332. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 10.67/10.94 333. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 330 331 332 % 10.67/10.94 334. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 333 % 10.67/10.94 335. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ### DisjTree 320 329 311 334 % 10.67/10.94 336. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 307 128 311 335 % 10.67/10.94 337. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 10.67/10.94 338. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 10.67/10.94 339. ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e1)) ### TransEq 337 338 45 % 10.67/10.94 340. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 187 336 339 % 10.67/10.94 341. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 177 117 181 340 % 10.67/10.94 342. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.67/10.94 343. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.67/10.94 344. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 10.67/10.94 345. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e2)) = (e0)) ### TransEq 342 343 344 % 10.67/10.94 346. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.67/10.94 347. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 288 292 320 346 % 10.67/10.94 348. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 153 341 345 347 % 10.67/10.94 349. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 95 303 348 194 % 10.67/10.94 350. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.67/10.94 351. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.67/10.94 352. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 10.67/10.94 353. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq 350 351 352 % 10.67/10.94 354. (((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 (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 302 349 353 % 10.67/10.94 355. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (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))))) ### DisjTree 298 354 284 128 % 10.67/10.94 356. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) (((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 (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((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)) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 31 277 355 % 10.67/10.94 357. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.67/10.94 358. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.67/10.94 359. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 10.67/10.94 360. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) = (e2)) ### TransEq 357 358 359 % 10.67/10.94 361. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.67/10.94 362. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.67/10.94 363. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 10.67/10.94 364. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 361 362 363 % 10.67/10.94 365. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 356 282 360 364 % 10.67/10.94 366. ((op (e2) (e3)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) (((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 (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 284 365 339 % 10.67/10.94 367. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 282 117 181 366 % 10.67/10.94 368. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) (((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 (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 95 278 367 276 % 10.67/10.94 369. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 31 277 368 % 10.67/10.94 370. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) (((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 (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 369 71 50 148 % 10.67/10.95 371. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 10.67/10.95 372. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 10.67/10.95 373. ((e1) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 371 372 10 % 10.67/10.95 374. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (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)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 240 26 370 373 % 10.67/10.95 375. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.67/10.95 376. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.67/10.95 377. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 10.67/10.95 378. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 10.67/10.95 379. ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e1)) ### TransEq 377 378 120 % 10.67/10.95 380. (((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 376 31 177 379 % 10.67/10.95 381. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.67/10.95 382. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.67/10.95 383. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 10.67/10.95 384. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 381 382 383 % 10.67/10.95 385. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.67/10.95 386. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.67/10.95 387. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 153 341 345 320 % 10.67/10.95 388. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 95 386 387 194 % 10.67/10.95 389. (((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))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 384 385 388 353 % 10.67/10.95 390. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (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 (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 389 284 128 % 10.67/10.95 391. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (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))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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)) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 380 277 390 % 10.67/10.95 392. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) (((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) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 391 71 50 148 % 10.67/10.95 393. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (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))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 375 26 392 373 % 10.67/10.95 394. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 10.67/10.95 395. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 10.67/10.95 396. ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e0)) ### TransEq 394 395 120 % 10.67/10.95 397. (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 6 374 393 396 % 10.67/10.95 398. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ### Or 397 41 % 10.67/10.95 399. (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 398 % 10.67/10.95 400. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.95 401. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.67/10.95 402. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.67/10.95 403. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 10.67/10.95 404. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 401 402 403 % 10.67/10.95 405. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 10.67/10.95 406. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 10.67/10.95 407. ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 405 406 45 % 10.67/10.95 408. (((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 400 404 407 353 % 10.67/10.95 409. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.95 410. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 10.67/10.95 411. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 10.67/10.95 412. ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 410 411 45 % 10.67/10.95 413. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 275 % 10.67/10.95 414. (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 409 301 412 413 % 10.67/10.95 415. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.95 416. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.95 417. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 10.67/10.95 418. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 10.67/10.95 419. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 417 418 10 % 10.67/10.95 420. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.67/10.95 421. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.67/10.95 422. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 10.67/10.95 423. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) = (e1)) ### TransEq-sym 420 421 422 % 10.67/10.95 424. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 10.67/10.95 425. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 10.67/10.95 426. ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 424 425 25 % 10.67/10.95 427. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.67/10.95 428. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.67/10.95 429. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 10.67/10.95 430. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq 427 428 429 % 10.67/10.95 431. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 10.67/10.95 432. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 10.67/10.95 433. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 10.67/10.95 434. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) = (e2)) ### TransEq-sym 431 432 433 % 10.67/10.95 435. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.67/10.95 436. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.67/10.95 437. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 10.67/10.95 438. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 435 436 437 % 10.67/10.95 439. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.67/10.95 440. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.67/10.95 441. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 10.67/10.95 442. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq 439 440 441 % 10.67/10.95 443. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ### DisjTree 438 36 246 442 % 10.67/10.95 444. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.67/10.95 445. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.67/10.95 446. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 10.67/10.95 447. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 444 445 446 % 10.67/10.95 448. (((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)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 71 408 447 % 10.67/10.95 449. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.95 450. (((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 449 404 230 353 % 10.67/10.95 451. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.95 452. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 10.67/10.95 453. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 10.67/10.95 454. ((e0) != (e1)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ### TransEq 452 453 10 % 10.67/10.95 455. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 10.67/10.95 456. ((op (e2) (op (e2) (e2))) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 45 455 % 10.67/10.95 457. ((op (e2) (op (e2) (e2))) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans 456 120 % 10.67/10.95 458. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 10.67/10.95 459. ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) != (op (e3) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e3)) ### NotEqual 457 458 % 10.67/10.95 460. ((e1) != (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans-sym 459 10 % 10.67/10.95 461. ((e3) != (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans-sym 456 120 % 10.67/10.95 462. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 10.67/10.95 463. (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e3)) ((op (e3) (e0)) = (e1)) ### DisjTree 460 461 462 % 10.67/10.95 464. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 10.67/10.95 465. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 10.67/10.95 466. ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e2)) = (e1)) ### TransEq 464 465 45 % 10.67/10.95 467. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.67/10.95 468. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.67/10.95 469. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 10.67/10.95 470. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) = (e2)) ### TransEq 467 468 469 % 10.67/10.95 471. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 307 121 466 470 % 10.67/10.95 472. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.67/10.95 473. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.67/10.95 474. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 10.67/10.95 475. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e3) (e3)) = (e1)) ### TransEq 472 473 474 % 10.67/10.95 476. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ### DisjTree 463 194 471 475 % 10.67/10.95 477. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 10.67/10.95 478. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 10.67/10.95 479. ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e0)) ### TransEq 477 478 45 % 10.67/10.95 480. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 184 454 476 479 % 10.67/10.95 481. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 31 480 194 % 10.67/10.95 482. (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 451 419 481 413 % 10.67/10.95 483. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.95 484. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 483 95 407 373 % 10.67/10.95 485. (((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)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 482 71 484 447 % 10.67/10.95 486. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((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))))) ### DisjTree 448 26 450 485 % 10.67/10.95 487. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (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)) ((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)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 430 434 443 486 % 10.67/10.95 488. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (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)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (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)) = (e0)) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 412 174 246 486 % 10.67/10.95 489. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) (((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 (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 487 488 215 % 10.67/10.95 490. ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (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)) ((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)) = (e0)) ((e1) != (e2)) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e3)) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 31 489 194 % 10.67/10.95 491. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 10.67/10.95 492. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 10.67/10.95 493. ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e2)) ### TransEq 491 492 120 % 10.67/10.95 494. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) (((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) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 416 419 490 493 % 10.67/10.95 495. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (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) (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))))) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 415 95 494 148 % 10.67/10.95 496. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (((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 (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e2) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 84 414 495 % 10.67/10.95 497. ((op (e1) (e0)) = (e1)) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((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)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 71 408 496 % 10.67/10.95 498. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.95 499. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.95 500. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.95 501. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 500 419 184 275 % 10.67/10.95 502. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.67/10.95 503. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.67/10.95 504. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 10.67/10.95 505. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq-sym 502 503 504 % 10.67/10.95 506. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 10.67/10.95 507. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 10.67/10.95 508. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 10.67/10.95 509. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 506 507 508 % 10.67/10.95 510. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ### DisjTree 329 509 246 442 % 10.67/10.95 511. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 307 121 466 510 % 10.67/10.95 512. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((e1) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ### DisjTree 463 505 511 475 % 10.67/10.95 513. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 412 174 512 476 % 10.67/10.95 514. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 434 512 479 % 10.67/10.95 515. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.67/10.95 516. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.67/10.95 517. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 10.67/10.95 518. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq 515 516 517 % 10.67/10.95 519. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 10.67/10.95 520. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 10.67/10.95 521. ((e0) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e2)) = (e0)) ### TransEq 519 520 45 % 10.67/10.95 522. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e0)) ((e0) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 307 121 521 510 % 10.67/10.95 523. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e2)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 518 194 522 475 % 10.67/10.95 524. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 434 523 479 % 10.67/10.95 525. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((e1) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((e0) != (e2)) ((op (e2) (e3)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 145 438 514 524 % 10.67/10.95 526. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e2) (e0)) = (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 501 454 513 525 % 10.67/10.95 527. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 526 174 121 % 10.67/10.95 528. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e2) (e0)) = (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (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) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 31 527 194 % 10.67/10.95 529. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) (((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 499 301 528 413 % 10.67/10.95 530. (((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))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 498 404 529 353 % 10.67/10.95 531. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) ((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))))) ### DisjTree 530 71 408 78 % 10.67/10.95 532. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ### DisjTree 497 26 450 531 % 10.67/10.96 533. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.67/10.96 534. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.96 535. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.96 536. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 91 121 311 510 % 10.67/10.96 537. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ### DisjTree 463 194 536 475 % 10.67/10.96 538. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (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)) ((op (e0) (e1)) != (op (e3) (e1))) ((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)) = (e0)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 434 537 486 % 10.67/10.96 539. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.67/10.96 540. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 539 419 412 396 % 10.67/10.96 541. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 518 194 536 475 % 10.67/10.96 542. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 540 174 541 479 % 10.67/10.96 543. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((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)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) (((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) (e1)) != (op (e3) (e1))) ((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 (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 184 454 538 542 % 10.67/10.96 544. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 10.67/10.96 545. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 10.67/10.96 546. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 10.67/10.96 547. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 544 545 546 % 10.67/10.96 548. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 10.67/10.96 549. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 10.67/10.96 550. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 10.67/10.96 551. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 548 549 550 % 10.67/10.96 552. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.67/10.96 553. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.67/10.96 554. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 10.67/10.96 555. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 552 553 554 % 10.67/10.96 556. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ### DisjTree 547 551 267 555 % 10.67/10.96 557. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((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)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) (((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)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 184 556 538 542 % 10.67/10.96 558. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.67/10.96 559. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 95 558 117 121 % 10.67/10.96 560. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (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)) ((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))))) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 557 174 559 % 10.67/10.96 561. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) ((e0) != (e1)) ((op (e2) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (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)) ((op (e0) (e1)) != (op (e3) (e1))) ((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)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 84 543 488 560 % 10.67/10.96 562. ((e1) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (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 (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((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 (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 26 31 561 194 % 10.67/10.96 563. ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (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) (e1)) != (op (e3) (e1))) ((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)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 535 419 562 413 % 10.67/10.96 564. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (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 (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e3) (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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 534 95 563 373 % 10.67/10.96 565. ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (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 (e3) (e1))) ((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)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 564 71 484 78 % 10.74/10.96 566. ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (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)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 533 26 450 565 % 10.74/10.96 567. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (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))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 6 532 501 566 % 10.74/10.96 568. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 10.74/10.96 569. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 10.74/10.96 570. ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 568 569 10 % 10.74/10.96 571. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ### ConjTree 570 % 10.74/10.96 572. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((e0) != (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 567 571 % 10.74/10.96 573. (((op (e0) (e0)) != (e3)) \/ ((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 (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (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))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 572 21 % 10.74/10.96 574. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((e0) != (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 573 % 10.74/10.96 575. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.74/10.96 576. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.74/10.96 577. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.74/10.96 578. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 10.74/10.96 579. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 576 577 578 % 10.74/10.96 580. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 333 % 10.74/10.96 581. (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 575 419 579 580 % 10.74/10.96 582. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### Or 581 21 % 10.74/10.96 583. (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ### ConjTree 582 % 10.74/10.96 584. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.74/10.96 585. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.74/10.96 586. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 419 585 442 219 % 10.74/10.96 587. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 10.74/10.96 588. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 10.74/10.96 589. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 10.74/10.96 590. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 587 588 589 % 10.74/10.96 591. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 584 95 586 590 % 10.74/10.96 592. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### Or 591 41 % 10.74/10.96 593. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 592 21 % 10.74/10.96 594. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 593 % 10.74/10.96 595. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) 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!= (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ### DisjTree 7 12 17 22 27 32 37 42 161 236 258 270 399 574 583 594 % 10.74/10.96 596. 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(((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((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 (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) 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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)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ### ConjTree 595 % 10.74/10.96 597. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 10.74/10.96 598. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 10.74/10.96 599. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 10.74/10.96 600. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq 597 598 599 % 10.74/10.96 601. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 600 % 10.74/10.96 602. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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)) ((e1) != (e2)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 159 % 10.74/10.96 603. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### ConjTree 46 % 10.74/10.96 604. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.74/10.96 605. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.74/10.96 606. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 10.74/10.96 607. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq-sym 604 605 606 % 10.74/10.96 608. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 607 % 10.74/10.96 609. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.74/10.96 610. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 10.74/10.96 611. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 10.74/10.96 612. ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 610 611 10 % 10.74/10.96 613. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.74/10.96 614. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.74/10.96 615. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) ### DisjTree 614 36 58 61 % 10.74/10.96 616. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.74/10.96 617. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.74/10.96 618. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 10.74/10.96 619. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 10.74/10.96 620. ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 618 619 10 % 10.74/10.96 621. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.74/10.96 622. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.74/10.96 623. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.74/10.96 624. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 10.74/10.96 625. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) = (e2)) ### TransEq 622 623 624 % 10.74/10.96 626. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 91 121 466 625 % 10.74/10.96 627. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 10.74/10.96 628. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 10.74/10.96 629. ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e1)) ### TransEq 627 628 120 % 10.74/10.96 630. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.74/10.96 631. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.74/10.96 632. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.74/10.96 633. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 10.74/10.96 634. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) = (e0)) ### TransEq 631 632 633 % 10.74/10.96 635. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.74/10.96 636. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 10.74/10.96 637. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 10.74/10.96 638. ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e0)) ### TransEq 636 637 10 % 10.74/10.96 639. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.74/10.96 640. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) ### DisjTree 78 638 207 639 % 10.74/10.96 641. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (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)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 634 635 246 640 % 10.74/10.96 642. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e1)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### DisjTree 139 641 360 466 % 10.74/10.96 643. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) = (e0)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 153 620 630 642 % 10.74/10.96 644. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 643 211 215 219 % 10.74/10.96 645. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 191 626 629 644 % 10.74/10.96 646. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 153 620 621 645 % 10.74/10.96 647. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 282 117 617 646 % 10.74/10.97 648. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 396 626 198 220 % 10.74/10.97 649. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 145 647 648 629 % 10.74/10.97 650. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 412 649 648 224 % 10.74/10.97 651. ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 153 615 616 650 % 10.74/10.97 652. ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 282 454 613 651 % 10.74/10.97 653. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 36 % 10.74/10.97 654. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.74/10.97 655. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.74/10.97 656. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 41 648 655 % 10.74/10.97 657. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 10.74/10.97 658. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 10.74/10.97 659. ((e0) != (e3)) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) = (e0)) ### TransEq 657 658 120 % 10.74/10.97 660. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 412 117 656 659 % 10.74/10.97 661. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e3)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 653 654 660 % 10.74/10.97 662. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.74/10.97 663. ((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)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (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) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 58 661 662 651 % 10.74/10.97 664. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 46 652 634 663 % 10.74/10.97 665. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 10.74/10.97 666. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 10.74/10.97 667. ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 665 666 10 % 10.74/10.97 668. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) != (e1)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 664 667 145 148 % 10.74/10.97 669. 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(((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) = (e2)) (((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 (e0) (e0)) != (e2)) ### DisjTree 609 612 139 668 % 10.74/10.97 670. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 11 46 669 % 10.74/10.97 671. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.74/10.97 672. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 430 121 466 625 % 10.74/10.97 673. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 153 653 671 672 % 10.74/10.97 674. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 612 139 673 % 10.74/10.97 675. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e1)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (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 (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (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)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 670 674 % 10.74/10.97 676. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (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)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 675 88 % 10.74/10.97 677. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (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 (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (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)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### Or 676 27 % 10.74/10.97 678. ((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)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ### ConjTree 677 % 10.74/10.97 679. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.74/10.97 680. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.74/10.97 681. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.74/10.97 682. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 10.74/10.97 683. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq 680 681 682 % 10.74/10.97 684. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 10.74/10.97 685. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 10.74/10.97 686. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 10.74/10.97 687. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 684 685 686 % 10.74/10.97 688. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.74/10.97 689. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.74/10.97 690. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.74/10.97 691. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 10.74/10.97 692. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 689 690 691 % 10.74/10.97 693. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 58 687 688 692 % 10.74/10.97 694. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 679 683 153 693 % 10.74/10.97 695. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 694 88 % 10.74/10.97 696. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### Or 695 159 % 10.74/10.97 697. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 696 % 10.74/10.97 698. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.74/10.97 699. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.74/10.97 700. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 10.74/10.97 701. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 10.74/10.97 702. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=) % 10.74/10.97 703. ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq-sym 700 701 702 % 10.74/10.97 704. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.74/10.97 705. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) ### DisjTree 78 703 551 704 % 10.74/10.97 706. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 699 612 139 705 % 10.74/10.97 707. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 10.74/10.97 708. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 10.74/10.97 709. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 10.74/10.97 710. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 707 708 709 % 10.74/10.97 711. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.74/10.97 712. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.74/10.97 713. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.74/10.97 714. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 10.74/10.97 715. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq-sym 712 713 714 % 10.74/10.97 716. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.74/10.97 717. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 715 505 509 716 % 10.74/10.97 718. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.74/10.97 719. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 10.74/10.97 720. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 10.74/10.97 721. ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e2)) ### TransEq-sym 719 720 10 % 10.74/10.97 722. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 46 454 634 109 % 10.74/10.97 723. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.74/10.97 724. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.74/10.97 725. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 10.74/10.97 726. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq 723 724 725 % 10.74/10.97 727. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 10.74/10.97 728. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 10.74/10.97 729. ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e0)) ### TransEq 727 728 120 % 10.74/10.97 730. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 379 729 198 219 % 10.74/10.97 731. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 412 726 730 555 % 10.74/10.97 732. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.74/10.97 733. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.74/10.97 734. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 10.74/10.97 735. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 732 733 734 % 10.74/10.97 736. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ### DisjTree 547 551 735 555 % 10.74/10.97 737. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.74/10.97 738. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 715 736 737 692 % 10.74/10.97 739. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 46 738 634 109 % 10.74/10.97 740. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 731 739 117 729 % 10.74/10.97 741. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) = (e1)) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 722 620 740 % 10.74/10.97 742. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 66 296 721 741 % 10.74/10.97 743. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 71 288 454 742 % 10.74/10.97 744. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 718 743 139 78 % 10.74/10.97 745. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 711 11 717 744 % 10.74/10.97 746. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 698 706 710 745 % 10.74/10.97 747. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 746 46 615 % 10.74/10.97 748. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.74/10.97 749. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.74/10.97 750. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.74/10.97 751. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 10.74/10.97 752. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 749 750 751 % 10.74/10.97 753. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 752 620 736 % 10.74/10.97 754. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 26 288 753 729 % 10.74/10.97 755. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 10.74/10.97 756. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 288 755 296 752 % 10.74/10.97 757. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 756 139 78 % 10.74/10.97 758. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((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)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 748 754 153 757 % 10.74/10.97 759. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) ((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)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 758 46 615 % 10.74/10.97 760. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (((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) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 747 759 % 10.74/10.97 761. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 760 174 % 10.74/10.97 762. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (((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) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### Or 761 695 % 10.74/10.97 763. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 150 26 710 158 % 10.74/10.97 764. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ### Or 762 763 % 10.74/10.97 765. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) (((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))))) ### ConjTree 764 % 10.74/10.98 766. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.74/10.98 767. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.74/10.98 768. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.74/10.98 769. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 10.74/10.98 770. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ### TransEq-sym 767 768 769 % 10.74/10.98 771. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 10.74/10.98 772. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 10.74/10.98 773. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 10.74/10.98 774. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 771 772 773 % 10.74/10.98 775. (((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 766 770 153 774 % 10.74/10.98 776. (((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 (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 150 770 153 774 % 10.74/10.98 777. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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 (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (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))))) ### Or 775 776 % 10.74/10.98 778. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 777 % 10.74/10.98 779. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### ConjTree 139 % 10.74/10.98 780. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 88 % 10.74/10.98 781. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 360 % 10.74/10.98 782. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 735 % 10.74/10.98 783. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.74/10.98 784. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.74/10.98 785. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.74/10.98 786. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.74/10.98 787. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 10.74/10.98 788. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq 785 786 787 % 10.74/10.98 789. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 412 117 784 788 % 10.74/10.98 790. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 10.74/10.98 791. ((op (e2) (op (e2) (e2))) != (op (e2) (e1))) ((op (e2) (e2)) = (e1)) ### NotEqual 45 790 % 10.74/10.98 792. ((op (e2) (op (e2) (e2))) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans 791 120 % 10.74/10.98 793. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 10.74/10.98 794. ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e3)) ### NotEqual 792 793 % 10.74/10.98 795. ((e0) != (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e3) (e1)) = (e0)) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans-sym 794 25 % 10.74/10.98 796. ((e3) != (op (e2) (op (e2) (e2)))) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans-sym 791 120 % 10.74/10.98 797. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 10.74/10.98 798. (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e3)) ((op (e3) (e1)) = (e0)) ### DisjTree 795 796 797 % 10.74/10.98 799. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.74/10.98 800. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 364 798 799 788 % 10.74/10.98 801. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.74/10.98 802. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.74/10.98 803. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 10.74/10.98 804. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 801 802 803 % 10.74/10.98 805. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.74/10.98 806. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.74/10.98 807. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 10.74/10.98 808. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 805 806 807 % 10.74/10.98 809. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 800 292 804 808 % 10.74/10.98 810. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.74/10.98 811. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 412 809 810 788 % 10.74/10.98 812. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.74/10.98 813. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 412 726 812 224 % 10.74/10.98 814. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 58 789 811 813 % 10.74/10.98 815. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.74/10.98 816. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.74/10.98 817. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) = (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) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 634 809 360 816 % 10.74/10.98 818. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 814 815 817 275 % 10.74/10.98 819. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.74/10.98 820. (((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 (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 384 819 620 353 % 10.74/10.98 821. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (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))))) ### Or 820 703 % 10.74/10.98 822. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e1) (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) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 821 % 10.74/10.98 823. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.74/10.98 824. (((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 823 667 145 148 % 10.74/10.98 825. (((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 (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 612 139 824 % 10.74/10.98 826. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 10.74/10.98 827. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 10.74/10.98 828. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=) % 10.74/10.98 829. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e3)) = (e1)) ### TransEq 826 827 828 % 10.74/10.98 830. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ### DisjTree 547 211 470 788 % 10.74/10.98 831. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 493 128 263 830 % 10.74/10.98 832. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 10.74/10.98 833. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 10.74/10.98 834. ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 832 833 10 % 10.74/10.98 835. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 296 831 834 % 10.74/10.98 836. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (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))))) ### DisjTree 825 829 789 835 % 10.74/10.98 837. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (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 (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 11 818 822 836 % 10.74/10.98 838. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 10.74/10.98 839. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 10.74/10.98 840. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 10.74/10.98 841. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq 838 839 840 % 10.74/10.98 842. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 841 687 800 813 % 10.74/10.98 843. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.74/10.98 844. (((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)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((op (e3) (e1)) = (e0)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 842 843 817 276 % 10.74/10.98 845. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 10.74/10.98 846. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 10.74/10.98 847. ((e0) != (e1)) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) = (e0)) ### TransEq 845 846 10 % 10.74/10.98 848. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 612 829 789 847 % 10.74/10.98 849. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 240 844 820 848 % 10.74/10.98 850. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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)) ((e1) != (e2)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 159 288 837 849 % 10.74/10.98 851. 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(((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 783 850 139 148 % 10.76/10.98 852. 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(((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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)) ((e1) != (e2)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 851 825 153 373 % 10.76/10.98 853. 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(((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 852 46 396 % 10.76/10.98 854. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 853 735 % 10.76/10.98 855. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((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)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 71 288 836 848 % 10.76/10.98 856. ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (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))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 855 139 148 % 10.76/10.98 857. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((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)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ### DisjTree 856 825 153 774 % 10.76/10.98 858. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((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))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 857 46 396 % 10.76/10.98 859. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((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 (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 858 735 % 10.76/10.98 860. (((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 (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (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 (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 854 859 % 10.76/10.98 861. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 10.76/10.98 862. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 10.76/10.98 863. ((e0) != (e3)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 861 862 25 % 10.76/10.98 864. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### ConjTree 863 % 10.76/10.98 865. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 860 864 % 10.76/10.98 866. (((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)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (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 (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 865 % 10.76/10.98 867. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.76/10.98 868. (((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 867 404 145 353 % 10.76/10.98 869. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e2)) != (op (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 (e1) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### Or 868 607 % 10.76/10.98 870. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 869 % 10.76/10.98 871. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.76/10.98 872. (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 871 301 579 580 % 10.76/10.98 873. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.76/10.98 874. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.76/10.98 875. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.76/10.98 876. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.76/10.98 877. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.76/10.98 878. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 10.76/10.98 879. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 876 877 878 % 10.76/10.98 880. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 879 292 804 404 % 10.76/10.98 881. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 10.76/10.98 882. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 10.76/10.98 883. ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e2)) ### TransEq 881 882 120 % 10.76/10.98 884. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### DisjTree 139 721 360 883 % 10.76/10.98 885. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.76/10.98 886. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) ((e0) != (e3)) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 638 659 113 % 10.76/10.98 887. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 412 726 885 886 % 10.76/10.98 888. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 419 880 884 887 % 10.76/10.98 889. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ### DisjTree 875 888 412 396 % 10.76/10.98 890. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 874 889 145 788 % 10.76/10.98 891. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.76/10.98 892. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.76/10.98 893. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.76/10.98 894. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 10.76/10.98 895. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) = (e0)) ### TransEq-sym 892 893 894 % 10.76/10.98 896. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.76/10.98 897. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 10.76/10.98 898. ((op (e3) (op (e3) (e3))) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ### NotEqual 120 897 % 10.76/10.98 899. ((op (e3) (op (e3) (e3))) != (e2)) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans 898 45 % 10.76/10.98 900. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 10.76/10.98 901. ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) != (op (e2) (e1))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) = (e2)) ### NotEqual 899 900 % 10.76/10.98 902. ((e0) != (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) ((op (e2) (e1)) = (e0)) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans-sym 901 25 % 10.76/10.98 903. ((e2) != (op (e3) (op (e3) (e3)))) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans-sym 898 45 % 10.76/10.98 904. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 10.76/10.98 905. (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) = (e0)) ### DisjTree 902 903 904 % 10.76/10.98 906. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 879 292 905 404 % 10.76/10.98 907. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((e0) != (e3)) ((op (e2) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) ### DisjTree 78 886 224 906 % 10.76/10.98 908. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 412 726 896 907 % 10.76/10.98 909. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.76/10.98 910. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 412 726 909 659 % 10.76/10.98 911. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 895 908 634 910 % 10.76/10.98 912. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 872 46 886 % 10.76/10.98 913. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 581 911 884 912 % 10.76/10.98 914. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.76/10.98 915. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.76/10.98 916. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 10.76/10.98 917. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 914 915 916 % 10.76/10.98 918. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ### DisjTree 891 913 917 788 % 10.76/10.98 919. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 873 890 139 918 % 10.76/10.98 920. ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((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 (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 872 46 919 % 10.76/10.98 921. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 10.76/10.98 922. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 10.76/10.98 923. ((op (e0) (e3)) = (e0)) ((e0) != (op (e0) (e3))) ### Sym(=) % 10.76/10.98 924. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e3)) = (e0)) ### TransEq 921 922 923 % 10.76/10.98 925. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 10.76/10.98 926. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 10.76/10.98 927. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 10.76/10.98 928. ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq-sym 925 926 927 % 10.76/10.98 929. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.76/10.98 930. (((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) (e2)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 928 479 929 % 10.76/10.98 931. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.76/10.98 932. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 10.76/10.98 933. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 10.76/10.98 934. ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e0)) ### TransEq 932 933 120 % 10.76/10.98 935. (((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 (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (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 (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 930 931 934 % 10.76/10.98 936. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((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))))) ### Or 935 333 % 10.76/10.99 937. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (op (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 (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 936 735 % 10.76/10.99 938. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 937 % 10.76/10.99 939. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.76/10.99 940. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.76/10.99 941. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 10.76/10.99 942. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) ((op (e3) (e0)) = (e0)) ### TransEq 939 940 941 % 10.76/10.99 943. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 879 518 307 333 % 10.76/10.99 944. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.76/10.99 945. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 943 934 944 % 10.76/10.99 946. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.76/10.99 947. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.76/10.99 948. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.76/10.99 949. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 10.76/10.99 950. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e1)) ### TransEq 947 948 949 % 10.76/10.99 951. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.76/10.99 952. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.76/10.99 953. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 10.76/10.99 954. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) = (e2)) ### TransEq-sym 951 952 953 % 10.76/10.99 955. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 946 950 954 198 % 10.76/10.99 956. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.76/10.99 957. (((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) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 895 798 934 956 % 10.76/10.99 958. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 10.76/10.99 959. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 10.76/10.99 960. ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e3)) ### TransEq-sym 958 959 45 % 10.76/10.99 961. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e2)) = (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)) = (e0)) ((e0) != (e3)) ### DisjTree 184 957 198 960 % 10.76/10.99 962. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 955 687 961 339 % 10.76/10.99 963. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.76/10.99 964. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.76/10.99 965. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.76/10.99 966. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 10.76/10.99 967. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) = (e3)) ### TransEq 964 965 966 % 10.76/10.99 968. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) = (e0)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e0)) ### DisjTree 963 905 470 967 % 10.76/10.99 969. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 307 968 263 470 % 10.76/10.99 970. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### DisjTree 139 969 954 883 % 10.76/10.99 971. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.76/10.99 972. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 970 438 971 934 % 10.76/10.99 973. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.76/10.99 974. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 962 972 973 479 % 10.76/10.99 975. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.76/10.99 976. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.76/10.99 977. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 10.76/10.99 978. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 975 976 977 % 10.76/10.99 979. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 978 721 954 883 % 10.76/10.99 980. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### DisjTree 863 570 960 967 % 10.76/10.99 981. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.76/10.99 982. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 980 638 479 981 % 10.76/10.99 983. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 945 974 979 982 % 10.76/10.99 984. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.76/10.99 985. (((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) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) ### DisjTree 139 438 984 934 % 10.76/10.99 986. (((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)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 983 71 985 447 % 10.76/10.99 987. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 986 333 % 10.76/10.99 988. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 987 735 % 10.76/10.99 989. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 988 % 10.76/10.99 990. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.76/10.99 991. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 895 943 934 990 % 10.76/10.99 992. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 991 962 979 982 % 10.76/10.99 993. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.76/10.99 994. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.76/10.99 995. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.76/10.99 996. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 10.76/10.99 997. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 994 995 996 % 10.76/10.99 998. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 184 117 198 960 % 10.76/10.99 999. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 184 798 198 960 % 10.76/10.99 1000. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 955 998 999 339 % 10.76/10.99 1001. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 71 993 997 1000 % 10.76/10.99 1002. (((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)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 992 1001 139 447 % 10.76/10.99 1003. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 1002 333 % 10.76/10.99 1004. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 1003 735 % 10.76/10.99 1005. (((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)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 991 612 139 447 % 10.76/10.99 1006. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((e0) != (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) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 177 505 961 339 % 10.76/10.99 1007. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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 (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((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 1005 962 998 1006 % 10.76/10.99 1008. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((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)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### Or 1007 333 % 10.76/10.99 1009. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((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) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 1008 46 % 10.76/10.99 1010. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### Or 1004 1009 % 10.76/10.99 1011. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e2) (e0)) != (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 (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (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 (e2) (e1)) != (op (e3) (e1))) ### ConjTree 1010 % 10.76/10.99 1012. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.76/10.99 1013. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 1012 181 954 198 % 10.76/10.99 1014. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 181 978 917 % 10.76/10.99 1015. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 1013 979 1014 629 % 10.76/10.99 1016. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.76/10.99 1017. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 10.76/10.99 1018. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 10.76/10.99 1019. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 10.76/10.99 1020. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq 1017 1018 1019 % 10.76/10.99 1021. (((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)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1020 292 629 906 % 10.76/10.99 1022. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.76/10.99 1023. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 10.76/10.99 1024. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 10.76/10.99 1025. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=) % 10.76/10.99 1026. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq 1023 1024 1025 % 10.76/10.99 1027. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.76/10.99 1028. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 10.76/10.99 1029. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 10.76/10.99 1030. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e2)) ### TransEq 1027 1028 1029 % 10.76/10.99 1031. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.76/10.99 1032. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 10.76/10.99 1033. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 10.76/10.99 1034. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) = (e3)) ### TransEq 1031 1032 1033 % 10.76/10.99 1035. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ### DisjTree 1022 1026 1030 1034 % 10.76/10.99 1036. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((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 (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (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)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 84 1021 1035 982 % 10.76/10.99 1037. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) (((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)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (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 (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 95 1016 1036 879 % 10.76/10.99 1038. (((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))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((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 (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (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)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 1037 917 863 % 10.76/10.99 1039. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (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 (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 1015 1038 735 91 % 10.76/10.99 1040. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 1013 721 1014 629 % 10.76/10.99 1041. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 84 296 1040 267 % 10.76/10.99 1042. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1041 84 735 91 % 10.76/10.99 1043. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 978 84 735 91 % 10.76/10.99 1044. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 1015 1042 1043 447 % 10.76/10.99 1045. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 1044 735 % 10.76/10.99 1046. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 1045 955 61 % 10.76/10.99 1047. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 10.76/10.99 1048. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 10.76/10.99 1049. ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 1047 1048 25 % 10.76/10.99 1050. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (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) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((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 (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (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)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1039 1046 1013 1049 % 10.76/10.99 1051. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### ConjTree 396 % 10.76/10.99 1052. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (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 (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1050 1051 % 10.76/10.99 1053. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (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) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (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)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 1052 735 % 10.76/10.99 1054. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (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 (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1053 1045 % 10.76/10.99 1055. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (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) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (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)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) != (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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ### ConjTree 1054 % 10.76/10.99 1056. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.76/10.99 1057. (((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) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 703 339 1056 % 10.76/10.99 1058. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.76/10.99 1059. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (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) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 1057 1058 629 % 10.76/10.99 1060. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.76/10.99 1061. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.76/10.99 1062. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=) % 10.76/10.99 1063. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) = (e3)) ### TransEq-sym 1060 1061 1062 % 10.76/10.99 1064. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### Or 1059 1063 % 10.76/10.99 1065. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.76/10.99 1066. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 10.76/11.00 1067. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=) % 10.76/11.00 1068. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) = (e2)) ### TransEq-sym 1065 1066 1067 % 10.76/11.00 1069. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 1064 1068 % 10.76/11.00 1070. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 1069 % 10.76/11.00 1071. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.76/11.00 1072. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 50 1026 1071 629 % 10.76/11.00 1073. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.76/11.00 1074. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.76/11.00 1075. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 10.76/11.00 1076. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 1073 1074 1075 % 10.76/11.00 1077. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.76/11.00 1078. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1076 721 1077 629 % 10.76/11.00 1079. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.76/11.00 1080. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 1078 829 339 1079 % 10.76/11.00 1081. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 1072 1080 954 883 % 10.76/11.00 1082. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### Or 1081 1063 % 10.76/11.00 1083. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 1082 1068 % 10.76/11.00 1084. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 1083 % 10.76/11.00 1085. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.76/11.00 1086. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 634 1085 954 198 % 10.76/11.00 1087. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 10.76/11.00 1088. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 10.76/11.00 1089. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 10.76/11.00 1090. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e0)) ### TransEq 1087 1088 1089 % 10.76/11.00 1091. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.76/11.00 1092. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ### DisjTree 1090 1091 954 198 % 10.76/11.00 1093. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 1086 1092 463 934 % 10.76/11.00 1094. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 10.76/11.00 1095. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 10.76/11.00 1096. ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 1094 1095 10 % 10.76/11.00 1097. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.76/11.00 1098. (((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 (e3) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 1096 505 1097 339 % 10.76/11.00 1099. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.76/11.00 1100. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 1093 1098 629 1099 % 10.76/11.00 1101. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1100 117 198 960 % 10.76/11.00 1102. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) = (e1)) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### Or 1101 1063 % 10.76/11.00 1103. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 1102 1068 % 10.76/11.00 1104. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 1103 % 10.76/11.00 1105. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.76/11.00 1106. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.76/11.00 1107. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.76/11.00 1108. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.76/11.00 1109. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 10.76/11.00 1110. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 1107 1108 1109 % 10.76/11.00 1111. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 863 638 479 113 % 10.76/11.00 1112. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### DisjTree 345 715 735 463 % 10.76/11.00 1113. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 10.76/11.00 1114. ((op (e3) (op (e3) (e3))) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) ### NotEqual 120 1113 % 10.76/11.00 1115. ((op (e3) (op (e3) (e3))) != (e2)) ((op (e3) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) ### Trans 1114 45 % 10.76/11.00 1116. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 10.76/11.00 1117. ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) != (op (e2) (e0))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) = (e2)) ### NotEqual 1115 1116 % 10.76/11.00 1118. ((e1) != (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) ### Trans-sym 1117 10 % 10.76/11.00 1119. ((e2) != (op (e3) (op (e3) (e3)))) ((op (e3) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) ### Trans-sym 1114 45 % 10.76/11.00 1120. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 10.76/11.00 1121. (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ### DisjTree 1118 1119 1120 % 10.76/11.00 1122. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1111 1112 1121 333 % 10.76/11.00 1123. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1122 570 960 967 % 10.76/11.00 1124. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1110 847 934 1123 % 10.76/11.00 1125. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) = (e1)) ((e0) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 153 1092 1124 934 % 10.76/11.00 1126. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.76/11.00 1127. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.76/11.00 1128. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 10.76/11.00 1129. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq-sym 1126 1127 1128 % 10.76/11.00 1130. (((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 (e0) (e2)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ### DisjTree 1106 41 1125 1129 % 10.76/11.00 1131. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) = (e1)) ((e0) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e1)) ### DisjTree 1105 1069 1130 774 % 10.76/11.00 1132. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (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 (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 301 1100 333 % 10.76/11.00 1133. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 847 934 1123 % 10.76/11.00 1134. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e1)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 153 438 1133 934 % 10.76/11.00 1135. (((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 (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1132 41 1134 1129 % 10.76/11.00 1136. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e1)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1132 1059 1135 774 % 10.76/11.00 1137. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.76/11.00 1138. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### DisjTree 345 1137 954 198 % 10.76/11.00 1139. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 21 638 479 113 % 10.76/11.00 1140. (((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 (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (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) != (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (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) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 6 1136 1138 1139 % 10.76/11.00 1141. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((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) (e0)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1131 1140 1086 980 % 10.76/11.00 1142. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e1)) ((e0) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e1)) (((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) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 1141 1063 % 10.76/11.00 1143. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((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) (e0)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((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 (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1142 1068 % 10.76/11.00 1144. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e1)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (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))))) ### Or 1140 194 % 10.76/11.00 1145. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (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 (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (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) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 1144 1068 % 10.76/11.00 1146. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e1)) ((e0) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((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) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 1143 1145 % 10.76/11.00 1147. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((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 (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (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 (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1146 % 10.76/11.00 1148. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 735 % 10.76/11.00 1149. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 1068 % 10.76/11.00 1150. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 954 % 10.76/11.00 1151. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ### ConjTree 883 % 10.76/11.00 1152. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 1063 % 10.76/11.00 1153. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ### ConjTree 960 % 10.76/11.00 1154. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 967 % 10.76/11.00 1155. 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(((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (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) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. 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(((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = 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(((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### Or 920 1155 % 10.76/11.00 1157. 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\/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((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) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 1156 607 % 10.76/11.01 1158. ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ((op (e0) (e0)) != (op (e0) (e2))) ((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) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (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)) != (op (e3) (e0))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### ConjTree 1157 % 10.76/11.01 1159. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.76/11.01 1160. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.76/11.01 1161. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.76/11.01 1162. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 10.76/11.01 1163. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) ((op (e3) (e3)) = (e3)) ### TransEq 1160 1161 1162 % 10.76/11.01 1164. (((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 1159 301 412 1163 % 10.76/11.01 1165. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.76/11.01 1166. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.76/11.01 1167. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.76/11.01 1168. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 145 620 1167 1154 % 10.76/11.01 1169. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.76/11.01 1170. (((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 (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1169 887 145 590 % 10.76/11.01 1171. (((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) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((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) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 1164 46 1170 % 10.76/11.01 1172. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (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)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1171 735 % 10.76/11.01 1173. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((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) (e2)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (e3)) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 540 880 1168 1172 % 10.76/11.01 1174. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1166 1173 145 590 % 10.76/11.01 1175. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.76/11.01 1176. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 540 911 1168 1172 % 10.76/11.01 1177. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e3)) = (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1175 1176 145 148 % 10.76/11.01 1178. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((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) (e2)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (e3)) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1165 1174 139 1177 % 10.76/11.01 1179. ((op (e0) (e0)) != (e2)) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (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)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((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) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 1164 46 1178 % 10.76/11.01 1180. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (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)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((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) (e2)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((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) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ### Or 1179 735 % 10.76/11.01 1181. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e0)) != (e2)) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (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)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((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) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### Or 1180 607 % 10.76/11.01 1182. ((op (e0) (e0)) != (op (e0) (e2))) ((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 (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((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) (e2)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((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) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ### ConjTree 1181 % 10.76/11.01 1183. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((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)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ 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(((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (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 (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ### DisjTree 601 602 603 608 678 697 765 778 779 780 781 782 866 870 1158 1182 % 10.76/11.01 1184. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op 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!= (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 1183 % 10.76/11.01 1185. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 924 % 10.76/11.01 1186. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 21 % 10.76/11.01 1187. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 607 % 10.76/11.01 1188. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.76/11.01 1189. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 10.76/11.01 1190. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 10.76/11.01 1191. ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e0)) ### TransEq 1189 1190 10 % 10.76/11.01 1192. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.76/11.01 1193. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 10.76/11.01 1194. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 10.76/11.01 1195. ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) = (e0)) ### TransEq 1193 1194 45 % 10.76/11.01 1196. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 10.76/11.01 1197. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 10.76/11.01 1198. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=) % 10.76/11.01 1199. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) = (e2)) ### TransEq-sym 1196 1197 1198 % 10.76/11.01 1200. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e3)) ((e2) != (e3)) ### DisjTree 407 1195 1199 466 % 10.76/11.01 1201. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.76/11.01 1202. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.76/11.01 1203. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 10.76/11.01 1204. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) ((op (e3) (e3)) = (e0)) ### TransEq 1201 1202 1203 % 10.76/11.01 1205. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.76/11.01 1206. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 879 518 307 1163 % 10.76/11.01 1207. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) = (e0)) ((op (e3) (e2)) = (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 1204 1205 329 1206 % 10.76/11.01 1208. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 10.76/11.01 1209. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 10.76/11.01 1210. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 10.76/11.01 1211. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 1208 1209 1210 % 10.76/11.01 1212. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.76/11.01 1213. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 379 128 509 1212 % 10.76/11.01 1214. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((e1) != (e2)) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### DisjTree 1211 1213 246 442 % 10.76/11.01 1215. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 493 1214 466 510 % 10.76/11.01 1216. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 396 1207 1215 1204 % 10.76/11.01 1217. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 41 % 10.76/11.01 1218. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.76/11.01 1219. (((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)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 1217 339 1218 % 10.76/11.01 1220. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e1)) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 46 1200 1216 1219 % 10.76/11.01 1221. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 230 1191 1192 1220 % 10.76/11.01 1222. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.76/11.01 1223. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.76/11.01 1224. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 518 770 509 1223 % 10.76/11.01 1225. (((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)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (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)) ### DisjTree 1222 1224 717 379 % 10.76/11.01 1226. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.76/11.01 1227. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e1)) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 174 1215 1219 % 10.76/11.01 1228. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e2) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 230 1225 1226 1227 % 10.76/11.01 1229. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.76/11.01 1230. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.76/11.01 1231. (((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) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (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)) ### DisjTree 1230 1224 177 379 % 10.76/11.01 1232. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.76/11.01 1233. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.76/11.01 1234. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.76/11.01 1235. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 10.76/11.01 1236. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 1233 1234 1235 % 10.76/11.01 1237. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 10.76/11.01 1238. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 10.76/11.01 1239. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 10.76/11.01 1240. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 1237 1238 1239 % 10.76/11.01 1241. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ### DisjTree 1236 770 1240 275 % 10.76/11.01 1242. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((e2) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((e1) != (e2)) ((op (e3) (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 (e3) (e2)) = (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 1241 1215 339 % 10.76/11.01 1243. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e2) != (e3)) ((op (e2) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 230 1231 1232 1242 % 10.76/11.01 1244. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 282 1228 1229 1243 % 10.76/11.01 1245. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e1)) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 145 1221 345 1244 % 10.76/11.01 1246. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1188 667 1245 863 % 10.80/11.02 1247. (((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)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 978 84 46 493 % 10.80/11.02 1248. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 10.80/11.02 1249. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 10.80/11.02 1250. ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 1248 1249 25 % 10.80/11.02 1251. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1246 612 1247 1250 % 10.80/11.02 1252. (((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) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 11 1251 396 % 10.80/11.02 1253. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (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))))) ### Or 1252 275 % 10.80/11.02 1254. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.80/11.02 1255. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.80/11.02 1256. (((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 (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 518 847 466 1255 % 10.80/11.02 1257. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 396 1256 521 1204 % 10.80/11.02 1258. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e3)) ((e2) != (e3)) ### DisjTree 407 1195 1199 1257 % 10.80/11.02 1259. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (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)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 145 1258 345 1241 % 10.80/11.02 1260. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1254 667 1259 863 % 10.80/11.02 1261. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((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)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 11 1260 396 % 10.80/11.02 1262. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1261 275 % 10.80/11.02 1263. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((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) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 1253 1262 % 10.80/11.02 1264. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (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) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### Or 1263 26 % 10.80/11.02 1265. (((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) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 1264 % 10.80/11.02 1266. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.80/11.02 1267. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.80/11.02 1268. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.80/11.02 1269. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 10.80/11.02 1270. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 1267 1268 1269 % 10.80/11.02 1271. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.80/11.02 1272. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 379 292 1270 1271 % 10.80/11.02 1273. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1266 683 1272 1049 % 10.80/11.02 1274. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1273 275 % 10.80/11.02 1275. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 1274 21 % 10.80/11.02 1276. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((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)) != (op (e0) (e3))) ### ConjTree 1275 % 10.80/11.02 1277. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.80/11.02 1278. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((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)) != (e1)) ### DisjTree 1277 1225 710 1049 % 10.80/11.02 1279. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((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)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1278 275 % 10.80/11.02 1280. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 1279 21 % 10.80/11.02 1281. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((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)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((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)) != (op (e0) (e3))) ### ConjTree 1280 % 10.80/11.02 1282. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.80/11.02 1283. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.80/11.02 1284. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.80/11.02 1285. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 396 847 320 1204 % 10.80/11.02 1286. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 1034 1285 570 % 10.80/11.02 1287. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### DisjTree 863 570 960 1163 % 10.80/11.02 1288. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 58 167 246 1287 % 10.80/11.02 1289. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 434 246 1287 % 10.80/11.02 1290. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 10.80/11.02 1291. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 10.80/11.02 1292. ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e0)) ### TransEq 1290 1291 45 % 10.80/11.02 1293. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1288 1289 1292 128 % 10.80/11.02 1294. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 1286 1293 834 % 10.80/11.02 1295. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 95 288 1294 847 % 10.80/11.02 1296. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1284 1295 230 863 % 10.80/11.02 1297. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 296 1288 834 % 10.80/11.02 1298. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.80/11.02 1299. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1298 978 191 % 10.80/11.02 1300. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1296 1297 1299 1250 % 10.80/11.02 1301. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (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 (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1283 42 1300 379 % 10.80/11.02 1302. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((e0) != (e1)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1282 770 1301 1049 % 10.80/11.02 1303. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.80/11.02 1304. (((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) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ### DisjTree 1303 41 177 1129 % 10.80/11.02 1305. (((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)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((e0) != (e1)) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1302 1304 396 % 10.80/11.02 1306. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((e0) != (e1)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1305 21 % 10.80/11.02 1307. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((e0) != (e1)) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 1306 % 10.80/11.02 1308. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.80/11.02 1309. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.80/11.02 1310. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.80/11.02 1311. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 10.80/11.02 1312. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 1309 1310 1311 % 10.80/11.02 1313. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.80/11.02 1314. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 493 804 1312 1313 % 10.80/11.02 1315. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.80/11.02 1316. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.80/11.02 1317. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e1)) = (e0)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 1204 905 1316 1164 % 10.80/11.02 1318. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1314 1315 1292 1317 % 10.80/11.02 1319. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.80/11.02 1320. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 288 31 1319 1034 % 10.80/11.02 1321. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.80/11.02 1322. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.80/11.02 1323. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.80/11.02 1324. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 493 804 263 1323 % 10.80/11.02 1325. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1322 1324 75 1250 % 10.80/11.02 1326. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 1325 333 % 10.80/11.02 1327. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.80/11.02 1328. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1317 551 1240 726 % 10.80/11.02 1329. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 426 88 493 % 10.80/11.02 1330. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ### DisjTree 905 687 1329 798 % 10.80/11.02 1331. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ### DisjTree 1049 834 1328 1330 % 10.80/11.02 1332. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e3)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e0)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e0) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 58 687 1331 1328 % 10.80/11.02 1333. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e1)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1314 1327 88 1332 % 10.80/11.02 1334. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((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)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e0)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (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 (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 66 1321 1326 1333 % 10.80/11.02 1335. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.80/11.02 1336. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 10.80/11.02 1337. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 10.80/11.02 1338. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 10.80/11.02 1339. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) = (e1)) ### TransEq 1336 1337 1338 % 10.80/11.02 1340. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ### DisjTree 1236 509 1312 198 % 10.80/11.02 1341. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.80/11.02 1342. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e0)) ((e0) != (e2)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 430 128 521 1341 % 10.80/11.02 1343. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 396 1340 1342 1204 % 10.80/11.02 1344. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 364 726 1343 224 % 10.80/11.02 1345. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) = (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 58 736 1339 1344 % 10.80/11.02 1346. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 384 1034 620 1345 % 10.80/11.02 1347. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) ### DisjTree 667 1026 454 1346 % 10.80/11.02 1348. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.80/11.02 1349. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.80/11.02 1350. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 10.80/11.02 1351. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 1348 1349 1350 % 10.80/11.02 1352. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ### DisjTree 1236 509 1312 1351 % 10.80/11.02 1353. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 407 1352 1340 333 % 10.80/11.03 1354. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e0)) = (e3)) ((op (e1) (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) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 95 288 1347 1353 % 10.80/11.03 1355. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1335 1354 407 863 % 10.80/11.03 1356. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.80/11.03 1357. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (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 (e1) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 1356 1326 834 % 10.80/11.03 1358. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (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 (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (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) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e1)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1320 1334 1355 1357 % 10.80/11.03 1359. (((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (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 (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 95 288 1318 1358 % 10.80/11.03 1360. ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (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 (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1308 1359 407 863 % 10.80/11.03 1361. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.80/11.03 1362. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 423 1361 191 % 10.80/11.03 1363. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (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 (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (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 (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ### DisjTree 1360 1362 50 1049 % 10.80/11.03 1364. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (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 (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1363 46 396 % 10.80/11.03 1365. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (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 (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (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 (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1364 333 % 10.80/11.03 1366. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1355 46 396 % 10.80/11.03 1367. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1366 333 % 10.80/11.03 1368. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (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 (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### Or 1365 1367 % 10.80/11.03 1369. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (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 (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (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 (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 1368 139 % 10.80/11.03 1370. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (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 (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 1369 % 10.80/11.03 1371. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1326 607 % 10.80/11.03 1372. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e3) (e0)) != (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) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (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) (e2)) != (op (e0) (e3))) ### ConjTree 1371 % 10.80/11.03 1373. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.80/11.03 1374. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.80/11.03 1375. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 493 804 311 1374 % 10.80/11.03 1376. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1373 1375 253 1250 % 10.80/11.03 1377. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 1376 333 % 10.80/11.03 1378. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1377 607 % 10.80/11.03 1379. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e3) (e0)) != (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 (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (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) (e2)) != (op (e0) (e3))) ### ConjTree 1378 % 10.80/11.03 1380. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.80/11.03 1381. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.80/11.03 1382. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 10.80/11.03 1383. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 10.80/11.03 1384. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 1381 1382 1383 % 10.80/11.03 1385. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1380 426 735 1384 % 10.80/11.03 1386. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.80/11.03 1387. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.80/11.03 1388. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 997 687 1068 798 % 10.80/11.03 1389. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 396 1388 1211 1204 % 10.80/11.03 1390. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 841 687 1389 339 % 10.80/11.03 1391. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 84 1390 1191 1287 % 10.80/11.03 1392. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.80/11.03 1393. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 493 804 521 1392 % 10.80/11.03 1394. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 1391 345 1393 % 10.80/11.03 1395. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1387 1394 46 493 % 10.80/11.03 1396. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1386 1395 1312 1250 % 10.80/11.03 1397. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 177 687 181 339 % 10.80/11.03 1398. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 1191 345 521 % 10.80/11.03 1399. (((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 (e0) (e3))) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1385 1398 396 % 10.80/11.03 1400. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (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) (e0)) != (op (e1) (e0))) ### DisjTree 240 1397 1399 1287 % 10.80/11.03 1401. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.80/11.03 1402. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1020 1401 191 % 10.80/11.03 1403. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((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)) != (op (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 (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((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 (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 1400 268 177 1402 % 10.80/11.03 1404. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1396 1362 1403 1049 % 10.80/11.03 1405. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) (((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)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (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) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1385 1404 396 % 10.80/11.03 1406. 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(((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = 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(((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 1405 1155 % 10.80/11.03 1407. 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(((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) (((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) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1406 1399 % 10.80/11.04 1408. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = 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(e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 1407 607 % 10.80/11.04 1409. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. 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((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) (((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) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 1408 % 10.80/11.04 1410. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 1163 % 10.80/11.04 1411. 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(e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) != (op (e3) (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) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (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))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. 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(((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### DisjTree 1185 1186 1187 1051 1265 1276 1281 1307 1370 1372 1379 1409 864 413 580 1410 % 10.80/11.04 1412. 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(((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (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) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != 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(e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (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) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 1411 % 10.80/11.04 1413. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.80/11.04 1414. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.80/11.04 1415. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 895 454 1090 109 % 10.80/11.04 1416. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.80/11.04 1417. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 1416 174 121 % 10.80/11.04 1418. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 95 1415 117 1417 % 10.80/11.04 1419. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 84 1414 75 1418 % 10.80/11.04 1420. (((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 (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((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)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 31 1419 129 % 10.80/11.04 1421. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (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 (e1) (e1)) != (e0)) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 1413 1420 100 % 10.80/11.04 1422. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((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 (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 240 26 50 1421 % 10.80/11.04 1423. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((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) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (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 (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 6 11 46 1422 % 10.80/11.04 1424. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((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 (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((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)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1423 36 % 10.80/11.04 1425. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((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) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (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 (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 1424 159 % 10.80/11.04 1426. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((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 (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((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)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### ConjTree 1425 % 10.80/11.04 1427. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.80/11.04 1428. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e3)) = (e0)) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 184 187 207 224 % 10.80/11.04 1429. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) = (e0)) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 177 505 181 1428 % 10.80/11.04 1430. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e3)) = (e0)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 31 174 1429 % 10.80/11.04 1431. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 11 1427 1195 1430 % 10.80/11.04 1432. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 240 26 1431 79 % 10.80/11.04 1433. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 6 11 1432 92 % 10.80/11.04 1434. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1433 16 % 10.80/11.04 1435. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 1434 % 10.80/11.04 1436. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.80/11.04 1437. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 191 729 943 1206 % 10.80/11.04 1438. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.80/11.04 1439. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 10.80/11.04 1440. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 10.80/11.04 1441. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 1438 1439 1440 % 10.80/11.04 1442. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ### DisjTree 1441 518 307 1163 % 10.83/11.04 1443. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 191 121 934 1442 % 10.83/11.04 1444. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ### DisjTree 113 518 307 1163 % 10.83/11.04 1445. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 191 752 1351 1444 % 10.83/11.04 1446. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 1437 1443 1445 % 10.83/11.04 1447. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 10.83/11.04 1448. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 10.83/11.04 1449. ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 1447 1448 45 % 10.83/11.04 1450. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.83/11.04 1451. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 518 128 629 475 % 10.83/11.04 1452. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 1450 174 1451 % 10.83/11.04 1453. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.83/11.04 1454. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 1199 % 10.83/11.04 1455. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 1453 1454 128 % 10.83/11.04 1456. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((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) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 26 31 1452 1455 % 10.83/11.04 1457. (((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 240 26 153 1456 % 10.83/11.04 1458. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ### DisjTree 443 1446 1449 1457 % 10.83/11.04 1459. 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(((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)) = (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 1436 174 1459 % 10.83/11.04 1461. 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(((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)) = (e0)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (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 (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1462 71 253 78 % 10.83/11.05 1464. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((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)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 150 26 153 1463 % 10.83/11.05 1465. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.83/11.05 1466. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1320 1446 117 121 % 10.83/11.05 1467. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 184 117 1449 555 % 10.83/11.05 1468. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 419 1458 1466 1467 % 10.83/11.05 1469. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (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 (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 1465 174 1468 % 10.83/11.05 1470. ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 26 31 1469 1455 % 10.83/11.05 1471. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.05 1472. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.83/11.05 1473. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 10.83/11.05 1474. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 10.83/11.05 1475. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 1472 1473 1474 % 10.83/11.05 1476. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.83/11.05 1477. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.83/11.05 1478. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 895 454 634 109 % 10.83/11.05 1479. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 95 1478 117 121 % 10.83/11.05 1480. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 10.83/11.05 1481. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 10.83/11.05 1482. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 10.83/11.05 1483. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e0)) ((op (e3) (e3)) = (e0)) ### TransEq 1480 1481 1482 % 10.83/11.05 1484. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1479 1437 1443 1483 % 10.83/11.05 1485. (((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))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (-. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((e2) != (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 (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 84 1476 246 1485 % 10.83/11.05 1487. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 31 1486 1455 % 10.83/11.05 1488. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (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 (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ### DisjTree 1470 1471 1475 1487 % 10.83/11.05 1489. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1488 95 145 373 % 10.83/11.05 1490. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (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 (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1489 71 139 78 % 10.83/11.05 1491. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((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) (e2)) = (e0)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 240 26 153 1490 % 10.83/11.05 1492. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.83/11.05 1493. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.83/11.05 1494. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 91 804 311 1493 % 10.83/11.05 1495. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.83/11.05 1496. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1494 1495 174 1479 % 10.83/11.05 1497. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (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 (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 84 1492 246 1496 % 10.83/11.05 1498. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 31 1497 1455 % 10.83/11.05 1499. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (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 (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (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))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 150 26 153 1498 % 10.83/11.05 1500. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (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 (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (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))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (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)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 1464 1491 1499 % 10.83/11.05 1501. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (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) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (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)) = (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 (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1500 1457 % 10.83/11.05 1502. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (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))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (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))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (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)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1501 36 % 10.83/11.05 1503. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (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) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (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))))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((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) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 256 1502 % 10.83/11.05 1504. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (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) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (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) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 1503 % 10.83/11.05 1505. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) = (e0)) ((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)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 71 1247 148 % 10.83/11.05 1506. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.05 1507. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.83/11.05 1508. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.83/11.05 1509. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 95 1508 341 501 % 10.83/11.05 1510. (((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))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 419 1507 1509 353 % 10.83/11.05 1511. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (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 (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 1510 284 128 % 10.83/11.05 1512. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (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))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 26 31 277 1511 % 10.83/11.05 1513. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.83/11.05 1514. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 153 928 345 320 % 10.83/11.05 1515. (((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))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 384 1513 1514 353 % 10.83/11.05 1516. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((e0) != (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) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 1515 174 559 % 10.83/11.05 1517. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((e0) != (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) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 1515 284 128 % 10.83/11.05 1518. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((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))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (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) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 31 1516 1517 % 10.83/11.05 1519. (((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) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 356 1506 1512 1518 % 10.83/11.05 1520. (((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 (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 (e3) (e1))) (((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 (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (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))))) ### DisjTree 1519 71 50 148 % 10.83/11.05 1521. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (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)) != (op (e3) (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((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) (e0)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1505 26 1520 373 % 10.83/11.05 1522. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (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 (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 6 374 1521 396 % 10.83/11.05 1523. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((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)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1522 41 % 10.83/11.06 1524. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) != (op (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 (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 1523 864 % 10.83/11.06 1525. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (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)) != (op (e3) (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((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)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1524 % 10.83/11.06 1526. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 84 540 91 % 10.83/11.06 1527. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.83/11.06 1528. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.83/11.06 1529. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.06 1530. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 501 454 1090 542 % 10.83/11.06 1531. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 26 31 1530 194 % 10.83/11.06 1532. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.06 1533. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 1532 687 296 752 % 10.83/11.06 1534. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((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)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((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 (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((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))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ### DisjTree 869 928 538 1441 % 10.83/11.06 1535. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (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)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1533 1534 174 121 % 10.83/11.06 1536. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((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 (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((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))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((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) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 31 1535 194 % 10.83/11.06 1537. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((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 (e1) (e2)) != (op (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) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 1529 1531 1536 % 10.83/11.06 1538. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((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) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1528 419 1537 396 % 10.83/11.06 1539. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((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 (e1) (e2)) != (op (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) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1527 95 1538 373 % 10.83/11.06 1540. ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((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) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1539 71 484 78 % 10.83/11.06 1541. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (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) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (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)) = (e0)) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1526 26 450 1540 % 10.83/11.06 1542. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (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))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 6 532 501 1541 % 10.83/11.06 1543. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((e0) != (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1542 21 % 10.83/11.06 1544. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (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))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 1543 % 10.83/11.06 1545. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (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 (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((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))))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (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 (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ### DisjTree 7 12 17 22 27 32 37 42 1426 1435 1504 270 1525 1544 583 594 % 10.83/11.06 1546. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (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 (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (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)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ### ConjTree 1545 % 10.83/11.06 1547. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 10.83/11.06 1548. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ ((op (e1) (e1)) = (e1)))) ### ConjTree 1547 % 10.83/11.06 1549. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 10.83/11.06 1550. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 10.83/11.06 1551. ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ### TransEq-sym 1549 1550 25 % 10.83/11.06 1552. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e3)) ((e2) != (e3)) ### DisjTree 407 721 1199 1384 % 10.83/11.06 1553. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.83/11.06 1554. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 184 1292 1553 109 % 10.83/11.06 1555. (((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 (e2) (e0)) = (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 1554 620 353 % 10.83/11.06 1556. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) = (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) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 434 75 1555 % 10.83/11.06 1557. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((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))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 301 1556 1329 % 10.83/11.06 1558. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((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)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((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))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 95 1552 1557 % 10.83/11.06 1559. ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 426 88 1558 % 10.83/11.06 1560. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 95 1552 148 % 10.83/11.06 1561. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 426 88 1560 % 10.83/11.06 1562. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((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)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 71 1559 1561 % 10.83/11.06 1563. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 95 1552 373 % 10.83/11.06 1564. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 978 426 88 1563 % 10.83/11.06 1565. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((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)) = (e1)) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 167 1564 78 % 10.83/11.06 1566. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.83/11.06 1567. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 177 1292 1566 109 % 10.83/11.06 1568. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 95 1567 187 194 % 10.83/11.06 1569. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 434 721 1568 % 10.83/11.06 1570. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 26 1026 174 1569 % 10.83/11.06 1571. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 1026 174 1129 % 10.83/11.06 1572. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1565 36 1570 1571 % 10.83/11.06 1573. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1562 26 710 1572 % 10.83/11.06 1574. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1573 88 % 10.83/11.06 1575. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.06 1576. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.06 1577. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.06 1578. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.83/11.06 1579. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 928 1578 1236 % 10.83/11.07 1580. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 6 1577 1292 1579 % 10.83/11.07 1581. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((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 (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 426 1576 1191 1580 % 10.83/11.07 1582. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) ### DisjTree 667 1026 174 847 % 10.83/11.07 1583. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1582 1567 187 729 % 10.83/11.07 1584. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((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 (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1581 434 721 1583 % 10.83/11.07 1585. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### DisjTree 1574 1575 1292 1584 % 10.83/11.07 1586. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.07 1587. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1585 1586 1191 1580 % 10.83/11.07 1588. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.07 1589. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.83/11.07 1590. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 10.83/11.07 1591. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 10.83/11.07 1592. ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 1590 1591 10 % 10.83/11.07 1593. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 978 426 88 1592 % 10.83/11.07 1594. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.83/11.07 1595. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.83/11.07 1596. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 10.83/11.07 1597. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 1594 1595 1596 % 10.83/11.07 1598. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.83/11.07 1599. (((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 (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 1398 207 1597 1598 % 10.83/11.07 1600. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e2) (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))))) ((e2) != (e3)) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1554 187 1599 224 % 10.83/11.07 1601. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((e2) != (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 (e2) (e3)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (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) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1593 721 1199 1600 % 10.83/11.07 1602. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 715 174 1339 1601 % 10.83/11.07 1603. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.83/11.07 1604. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((e2) != (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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 1602 1292 1603 109 % 10.83/11.07 1605. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1582 1604 187 729 % 10.83/11.07 1606. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((e2) != (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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 1589 721 1605 % 10.83/11.07 1607. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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 (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### DisjTree 1574 1588 1292 1606 % 10.83/11.07 1608. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.07 1609. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1607 1608 1191 1580 % 10.83/11.07 1610. ((op (e1) (e1)) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 36 1587 1609 % 10.83/11.07 1611. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.07 1612. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 1026 174 847 % 10.83/11.07 1613. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### DisjTree 1574 1611 1292 1612 % 10.83/11.07 1614. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.07 1615. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1613 1614 1191 1580 % 10.83/11.07 1616. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (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) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 1610 710 1615 % 10.83/11.07 1617. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.83/11.07 1618. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e3)) ((e2) != (e3)) ### DisjTree 407 721 1199 521 % 10.83/11.07 1619. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 145 438 1617 1618 % 10.83/11.07 1620. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.07 1621. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 1619 1620 1191 1580 % 10.83/11.07 1622. (((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)) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 1567 620 353 % 10.83/11.07 1623. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ((e1) != (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) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 434 721 1622 % 10.83/11.07 1624. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.07 1625. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) (((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)) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1623 1624 1191 1580 % 10.83/11.07 1626. (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e0)) = (e1)) ((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)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 191 667 1621 1625 % 10.83/11.07 1627. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 36 1626 379 % 10.83/11.07 1628. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.07 1629. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 95 1628 1292 1612 % 10.83/11.07 1630. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.07 1631. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1110 847 521 1483 % 10.83/11.07 1632. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e3)) ((e2) != (e3)) ### DisjTree 407 721 1199 1631 % 10.83/11.07 1633. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 1026 174 1632 % 10.83/11.07 1634. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 1619 1630 1191 1633 % 10.83/11.07 1635. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 191 1629 1634 373 % 10.83/11.07 1636. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (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))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 1627 710 1635 % 10.83/11.07 1637. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (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) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ### Or 1616 1636 % 10.83/11.07 1638. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (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) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 1637 88 % 10.83/11.07 1639. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (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) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ### Or 1638 36 % 10.83/11.07 1640. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (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) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ### ConjTree 1639 % 10.83/11.07 1641. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 1574 % 10.83/11.07 1642. (((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 (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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 (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 1035 145 148 % 10.83/11.07 1643. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.07 1644. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 95 1643 997 1582 % 10.83/11.07 1645. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 1644 1552 148 % 10.83/11.07 1646. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 1642 46 1645 % 10.83/11.07 1647. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 167 139 1646 % 10.83/11.07 1648. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.07 1649. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.83/11.07 1650. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 184 798 730 555 % 10.83/11.07 1651. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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))))) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e1)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1567 174 1650 1601 % 10.83/11.07 1652. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 26 288 1292 729 % 10.83/11.07 1653. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1582 1651 187 1652 % 10.83/11.07 1654. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((e2) != (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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 1602 620 1653 % 10.83/11.07 1655. 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(((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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))))) ((e2) != (e3)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 1649 721 1654 % 10.83/11.07 1656. ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### DisjTree 1574 1648 997 1655 % 10.83/11.07 1657. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.07 1658. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) = (e0)) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 177 174 1339 1428 % 10.83/11.08 1659. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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 (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e1)) != (e2)) ### DisjTree 1656 1657 1191 1658 % 10.83/11.08 1660. ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 36 177 1659 % 10.83/11.08 1661. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.08 1662. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 95 1661 997 1612 % 10.83/11.08 1663. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 1662 1552 148 % 10.83/11.08 1664. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 1642 46 1663 % 10.83/11.08 1665. 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(((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) (e2))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1665 36 177 1571 % 10.83/11.08 1667. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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 (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1647 1660 153 1666 % 10.83/11.08 1668. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 1642 88 493 % 10.83/11.08 1669. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 167 139 1668 % 10.83/11.08 1670. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1669 36 177 379 % 10.83/11.08 1671. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (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) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (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) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ### Or 1667 1670 % 10.83/11.08 1672. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (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) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 1671 46 % 10.83/11.08 1673. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (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) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ### Or 1672 36 % 10.83/11.08 1674. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (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))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (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) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 1673 % 10.83/11.08 1675. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.08 1676. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.83/11.08 1677. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 10.83/11.08 1678. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 10.83/11.08 1679. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 1676 1677 1678 % 10.83/11.08 1680. (((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)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 1675 1191 1679 % 10.83/11.08 1681. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (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))))) ### Or 1680 36 % 10.83/11.08 1682. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 1681 % 10.83/11.08 1683. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 1026 % 10.83/11.08 1684. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ### ConjTree 174 % 10.83/11.08 1685. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 703 % 10.83/11.08 1686. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 88 % 10.83/11.08 1687. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ### ConjTree 721 % 10.83/11.08 1688. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 1068 % 10.83/11.08 1689. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.83/11.08 1690. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1096 808 1689 555 % 10.83/11.08 1691. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.83/11.08 1692. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 145 1191 345 521 % 10.83/11.08 1693. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e3) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 1692 715 88 463 % 10.83/11.08 1694. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 634 171 1312 442 % 10.83/11.08 1695. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.83/11.08 1696. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1693 1694 1695 883 % 10.83/11.08 1697. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e3)) ((e2) != (e3)) ### DisjTree 407 721 1199 1696 % 10.83/11.08 1698. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.83/11.08 1699. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e3) (e2)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1618 620 1698 934 % 10.83/11.08 1700. ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e3)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) = (e1)) ((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))))) ### DisjTree 868 1191 1697 1699 % 10.83/11.08 1701. (((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))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1691 667 1700 353 % 10.83/11.08 1702. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e1)) ((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))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 36 1690 1701 % 10.83/11.08 1703. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 36 1690 1571 % 10.83/11.08 1704. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 1702 710 1703 % 10.83/11.08 1705. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 26 1026 174 284 % 10.83/11.08 1706. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 404 407 863 % 10.83/11.08 1707. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 167 1706 1250 % 10.83/11.08 1708. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1707 1652 710 1049 % 10.83/11.08 1709. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 1191 345 1699 % 10.83/11.08 1710. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 36 1690 61 % 10.83/11.08 1711. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1707 1710 710 1049 % 10.83/11.08 1712. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1708 1709 1711 % 10.83/11.08 1713. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1704 1705 868 1712 % 10.83/11.08 1714. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((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)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 1713 1068 % 10.83/11.08 1715. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 1714 703 % 10.83/11.08 1716. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1712 1068 % 10.83/11.08 1717. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 1715 1716 % 10.83/11.08 1718. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 1717 % 10.83/11.08 1719. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.83/11.08 1720. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1719 667 917 788 % 10.83/11.08 1721. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ### DisjTree 113 1129 1121 333 % 10.83/11.08 1722. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1110 847 934 1721 % 10.83/11.08 1723. (((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) != (e1)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 1026 174 1722 % 10.83/11.08 1724. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((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) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((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)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 581 1723 1571 % 10.83/11.08 1725. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 1720 710 1724 % 10.83/11.08 1726. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.83/11.08 1727. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 1726 620 555 % 10.83/11.08 1728. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) ### DisjTree 139 1191 345 1699 % 10.83/11.08 1729. ((op (e3) (e2)) = (e3)) ((e0) != (e2)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 1728 721 1199 883 % 10.83/11.08 1730. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.83/11.08 1731. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### DisjTree 345 950 66 579 % 10.83/11.08 1732. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 841 505 1731 224 % 10.83/11.08 1733. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 895 1292 1732 659 % 10.83/11.08 1734. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((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 (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) ### DisjTree 667 1026 174 1733 % 10.83/11.08 1735. (((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))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1730 1734 917 148 % 10.83/11.08 1736. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 1735 884 91 % 10.83/11.08 1737. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (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) (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)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 167 139 1736 % 10.83/11.08 1738. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 879 770 1240 1063 % 10.83/11.08 1739. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 167 139 78 % 10.83/11.08 1740. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 177 1292 634 659 % 10.83/11.08 1741. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1739 581 1740 1571 % 10.83/11.09 1742. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1737 1738 153 1741 % 10.83/11.09 1743. (((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((e0) != (e2)) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 1727 1729 1742 % 10.83/11.09 1744. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 167 1728 1250 % 10.83/11.09 1745. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.83/11.09 1746. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 667 1745 187 1063 % 10.83/11.09 1747. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1744 1746 710 1049 % 10.83/11.09 1748. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 1734 407 863 % 10.83/11.09 1749. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e2)) = (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)) ((e1) != (e2)) ### DisjTree 136 1748 88 91 % 10.83/11.09 1750. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 167 1749 1250 % 10.83/11.09 1751. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1750 1738 710 1049 % 10.83/11.09 1752. (((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) (e1)) != (op (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) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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 (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((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 (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1727 1747 1751 % 10.83/11.09 1753. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((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) (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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((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) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1725 1705 1743 1752 % 10.83/11.09 1754. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (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) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 1753 1068 % 10.83/11.09 1755. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((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) (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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((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) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 1754 703 % 10.83/11.09 1756. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((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 (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != 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(e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (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) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((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 (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (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))))) ### Or 1752 1155 % 10.83/11.09 1757. 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(e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (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 (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) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (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)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 1756 703 % 10.83/11.09 1758. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. 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\/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (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) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 1755 1757 % 10.83/11.09 1759. 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(e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (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 (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) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 1758 % 10.83/11.09 1760. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.83/11.09 1761. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.83/11.09 1762. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 10.83/11.09 1763. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 10.83/11.09 1764. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) ((op (e3) (e3)) = (e3)) ### TransEq 1761 1762 1763 % 10.83/11.09 1765. (((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 667 1760 187 1764 % 10.83/11.09 1766. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.83/11.09 1767. (((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)) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 419 1766 620 219 % 10.83/11.09 1768. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.83/11.09 1769. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 407 620 1768 967 % 10.83/11.09 1770. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e0)) = (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ### DisjTree 113 1129 1121 1163 % 10.83/11.09 1771. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1110 847 521 1770 % 10.83/11.09 1772. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1769 721 1199 1771 % 10.83/11.09 1773. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (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) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 1026 174 1772 % 10.83/11.09 1774. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e1) (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)) ((e0) != (e1)) ### DisjTree 1551 1767 1773 1571 % 10.83/11.09 1775. (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) != (op (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) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((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)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 1765 710 1774 % 10.83/11.09 1776. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.83/11.09 1777. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 1352 347 1204 % 10.83/11.09 1778. (((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) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 1776 1777 219 % 10.83/11.09 1779. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 1026 174 1778 % 10.83/11.09 1780. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (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) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 167 1779 1250 % 10.83/11.09 1781. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.83/11.09 1782. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1352 770 1240 1764 % 10.83/11.09 1783. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1782 721 1199 1694 % 10.83/11.09 1784. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.83/11.09 1785. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 407 1782 1784 967 % 10.83/11.09 1786. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1785 721 1199 521 % 10.83/11.09 1787. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((e2) != (e3)) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 1191 1783 1786 % 10.83/11.09 1788. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 1781 1787 219 % 10.83/11.10 1789. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((e2) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((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) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1780 1788 710 1049 % 10.83/11.10 1790. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 167 1769 1250 % 10.83/11.10 1791. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 1191 345 1786 % 10.83/11.10 1792. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1790 1791 710 1049 % 10.83/11.10 1793. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ### DisjTree 1441 509 1312 1351 % 10.83/11.10 1794. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.83/11.10 1795. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 407 1793 1794 1154 % 10.83/11.10 1796. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 167 1795 1250 % 10.83/11.10 1797. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 879 770 1240 1764 % 10.83/11.10 1798. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1796 1797 710 1049 % 10.83/11.10 1799. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (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) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1789 1792 1798 % 10.83/11.10 1800. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e0) != (e3)) ((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 (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1775 1705 1168 1799 % 10.83/11.10 1801. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (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) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((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))))) ((e0) != (e1)) ((e0) != (e3)) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 1800 1068 % 10.83/11.10 1802. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e0) != (e3)) ((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)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 1801 703 % 10.83/11.10 1803. ((op (e2) (e1)) != (op (e2) (e3))) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (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) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((e0) != (e3)) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 1802 % 10.83/11.10 1804. ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((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 (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ 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(((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. 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(((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (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) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 1640 1641 1674 1682 653 1683 1684 1685 1686 1687 1454 1688 822 1718 1759 1803 % 10.83/11.10 1805. 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(((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (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) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((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)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((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)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) ### ConjTree 1804 % 10.83/11.10 1806. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.83/11.10 1807. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 729 320 1806 % 10.83/11.10 1808. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 752 1807 570 % 10.83/11.10 1809. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.83/11.10 1810. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.10 1811. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 1810 683 320 752 % 10.83/11.10 1812. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 1195 1809 1811 % 10.83/11.10 1813. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e2) (e2)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 752 1812 570 % 10.83/11.10 1814. (((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 (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 1808 1813 834 % 10.83/11.10 1815. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.10 1816. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.10 1817. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e0)) ### DisjTree 1816 829 1030 752 % 10.83/11.10 1818. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.83/11.10 1819. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1110 729 320 1818 % 10.83/11.10 1820. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 230 1819 1449 1063 % 10.83/11.10 1821. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 58 174 1820 930 % 10.83/11.10 1822. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e2) (e1)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1817 1821 1195 834 % 10.83/11.10 1823. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 829 1822 194 % 10.83/11.10 1824. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 307 121 466 329 % 10.83/11.10 1825. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1823 703 950 1824 % 10.83/11.10 1826. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e0) (e0)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) (((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))))) ### DisjTree 1814 1815 1825 638 % 10.83/11.10 1827. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 1808 75 834 % 10.83/11.10 1828. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.10 1829. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 41 58 61 % 10.83/11.10 1830. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.83/11.10 1831. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 1829 729 1211 1830 % 10.83/11.10 1832. (((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))))) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1827 1828 1831 638 % 10.83/11.10 1833. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.83/11.10 1834. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) ### DisjTree 139 438 1833 320 % 10.83/11.10 1835. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 752 1834 570 % 10.83/11.10 1836. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 1835 75 834 % 10.83/11.10 1837. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.10 1838. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.83/11.10 1839. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 91 729 1211 1838 % 10.83/11.10 1840. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e3) (e0)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1836 1837 1839 638 % 10.83/11.10 1841. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) (((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) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 978 1817 1832 1840 % 10.83/11.10 1842. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) (((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) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 978 1817 1832 1592 % 10.83/11.10 1843. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1592 121 263 625 % 10.83/11.10 1844. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1817 1808 1843 834 % 10.83/11.10 1845. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.10 1846. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.83/11.10 1847. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 61 729 1211 1846 % 10.83/11.10 1848. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1844 1845 1847 638 % 10.83/11.10 1849. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 612 1842 1848 % 10.83/11.10 1850. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 41 58 1849 % 10.83/11.10 1851. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ### DisjTree 148 570 659 1764 % 10.83/11.10 1852. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) ### DisjTree 1250 638 1851 1121 % 10.83/11.10 1853. ((op (e0) (e3)) = (e2)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (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)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (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 (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1826 1817 1850 1852 % 10.83/11.10 1854. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (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))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1826 612 1841 1853 % 10.83/11.11 1855. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.11 1856. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) (((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))))) ### DisjTree 1814 1855 1847 638 % 10.83/11.11 1857. (((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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) (((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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 41 1854 1856 % 10.83/11.11 1858. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.83/11.11 1859. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 153 438 1858 320 % 10.83/11.11 1860. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 752 1859 570 % 10.83/11.11 1861. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1533 1860 174 121 % 10.83/11.11 1862. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 829 1861 194 % 10.83/11.11 1863. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.11 1864. (((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 (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1862 1863 1823 638 % 10.83/11.11 1865. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.11 1866. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1862 1865 1847 638 % 10.83/11.11 1867. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (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 (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((e2) != (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)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((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 (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (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 (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 41 1864 1866 % 10.83/11.11 1868. (((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (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))))) ((op (e1) (e1)) != (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)) != (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((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)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 1857 1867 774 % 10.83/11.11 1869. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (e0)) (((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)) != (e0)) (((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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1868 275 % 10.83/11.11 1870. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 829 1533 194 % 10.83/11.11 1871. (((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) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 1870 50 1848 % 10.83/11.11 1872. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (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) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (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 (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 41 58 1871 % 10.83/11.11 1873. (((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 (e0) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 1850 1872 774 % 10.83/11.11 1874. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1873 275 % 10.83/11.11 1875. (((op (e2) (e2)) != (e0)) \/ ((op (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))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (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))))) ((op (e1) (e1)) != (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))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((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)) = (e0)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 1869 1874 % 10.83/11.11 1876. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((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 (e0) (e1)) != (op (e1) (e1))) (((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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### Or 1875 41 % 10.83/11.11 1877. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (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))))) ((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))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 1876 % 10.83/11.11 1878. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 829 174 194 % 10.83/11.11 1879. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 71 1808 1878 121 % 10.83/11.11 1880. (((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 (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1879 26 1862 774 % 10.83/11.11 1881. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1880 275 % 10.83/11.11 1882. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ### DisjTree 1441 1020 430 275 % 10.83/11.11 1883. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.83/11.11 1884. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 729 1882 1883 % 10.83/11.11 1885. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (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) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 1870 1827 1844 % 10.83/11.11 1886. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1884 41 58 1885 % 10.83/11.11 1887. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1884 26 1886 774 % 10.83/11.11 1888. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1887 275 % 10.83/11.11 1889. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (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) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((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 (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 1881 1888 % 10.83/11.11 1890. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (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 (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### Or 1889 41 % 10.83/11.11 1891. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (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) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 1890 % 10.83/11.11 1892. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.83/11.11 1893. (((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 21 638 1597 1892 % 10.83/11.11 1894. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.83/11.11 1895. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1893 1894 997 729 % 10.83/11.11 1896. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### Or 1895 275 % 10.83/11.11 1897. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 1896 41 % 10.83/11.11 1898. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e3) (e0)) != (op (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 (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 1897 % 10.83/11.11 1899. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 21 171 1533 404 % 10.83/11.11 1900. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 829 1899 194 % 10.83/11.11 1901. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1900 703 950 1824 % 10.83/11.11 1902. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.83/11.11 1903. (((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 1901 1902 1441 % 10.83/11.11 1904. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 978 1817 58 91 % 10.83/11.11 1905. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (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 1903 612 1904 1250 % 10.83/11.11 1906. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 41 1905 61 % 10.83/11.11 1907. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 21 423 296 404 % 10.83/11.11 1908. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1533 1907 174 121 % 10.83/11.11 1909. ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 1906 829 1908 194 % 10.83/11.11 1910. (((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 (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1909 1906 1900 774 % 10.83/11.11 1911. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((e2) != (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) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 1829 829 1908 194 % 10.83/11.11 1912. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1911 1829 1900 1049 % 10.83/11.11 1913. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1910 1912 % 10.83/11.11 1914. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### Or 1913 41 % 10.83/11.11 1915. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1914 % 10.83/11.11 1916. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 829 % 10.83/11.11 1917. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 703 % 10.83/11.11 1918. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ### ConjTree 194 % 10.83/11.11 1919. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.83/11.11 1920. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1592 121 1312 1919 % 10.83/11.11 1921. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 41 58 1920 % 10.83/11.12 1922. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 1921 50 774 % 10.83/11.12 1923. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 829 1417 194 % 10.83/11.12 1924. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) = (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)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1923 1921 50 774 % 10.83/11.12 1925. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (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))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1706 1921 50 774 % 10.83/11.12 1926. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1922 1924 139 1925 % 10.83/11.12 1927. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (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 (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 1926 1063 % 10.83/11.12 1928. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (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 (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1927 703 % 10.83/11.12 1929. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e3) (e1)) != (op (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) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 1928 % 10.83/11.12 1930. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.83/11.12 1931. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.83/11.12 1932. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ### DisjTree 1121 121 466 1931 % 10.83/11.12 1933. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) ### DisjTree 1250 638 1851 1932 % 10.83/11.12 1934. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e0) (e3)) = (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 1687 950 1933 % 10.83/11.12 1935. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1930 167 75 1934 % 10.83/11.12 1936. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.83/11.12 1937. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1592 121 263 1936 % 10.83/11.12 1938. (((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)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 41 1935 1937 % 10.83/11.12 1939. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 829 174 194 % 10.83/11.12 1940. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (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 (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ((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)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 1938 1939 774 % 10.83/11.12 1941. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1652 829 174 194 % 10.83/11.12 1942. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1923 41 177 1937 % 10.83/11.12 1943. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.83/11.12 1944. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 91 121 466 1943 % 10.83/11.12 1945. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 703 950 1944 % 10.83/11.12 1946. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 1945 829 1417 284 % 10.83/11.12 1947. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1878 41 1946 1937 % 10.83/11.12 1948. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (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 (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 6 1941 1942 1947 % 10.83/11.12 1949. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.83/11.12 1950. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ### DisjTree 148 834 1149 1949 % 10.83/11.12 1951. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 404 145 1950 % 10.83/11.12 1952. (((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 (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1951 1652 153 774 % 10.83/11.12 1953. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 41 177 1937 % 10.83/11.12 1954. (((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 (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1878 1953 153 774 % 10.83/11.12 1955. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 41 1945 61 % 10.83/11.12 1956. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1951 1955 153 774 % 10.83/11.12 1957. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (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) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (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)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 1952 1954 1956 % 10.83/11.12 1958. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.83/11.12 1959. (((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 (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1958 167 50 1250 % 10.83/11.12 1960. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1707 1652 1959 1049 % 10.83/11.12 1961. (((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) (e1)) != (op (e2) (e1))) ((e0) != (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))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1878 1953 1959 774 % 10.83/11.12 1962. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1707 1955 1959 1049 % 10.83/11.12 1963. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (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) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1960 1961 1962 % 10.83/11.12 1964. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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 (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1940 1948 1957 1963 % 10.83/11.12 1965. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (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 (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (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 (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (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)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 1964 1063 % 10.83/11.12 1966. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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 (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 1965 703 % 10.83/11.12 1967. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((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 (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e2)) ((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)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1957 1063 % 10.83/11.12 1968. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (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 (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (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 (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 1966 1967 % 10.83/11.12 1969. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 1968 % 10.83/11.12 1970. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.83/11.12 1971. (((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 (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 612 1970 1454 121 % 10.83/11.12 1972. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.83/11.12 1973. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e3)) = (e3)) ((e2) != (e3)) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 1250 834 960 1972 % 10.83/11.12 1974. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.83/11.12 1975. (((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 (e2) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ### DisjTree 1121 121 311 1974 % 10.83/11.12 1976. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((e0) != (e1)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((e2) != (e3)) ((op (e2) (e3)) = (e3)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1973 638 659 1975 % 10.83/11.12 1977. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e1)) ((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 (e3) (e1)) = (e3)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1096 117 1449 1976 % 10.83/11.12 1978. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((e0) != (e1)) ((e0) != (e2)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 829 1977 194 % 10.83/11.12 1979. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.83/11.12 1980. (((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)) = (e1)) ((e1) != (e2)) ### DisjTree 1592 121 311 1979 % 10.83/11.12 1981. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((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 (e3) (e1)) = (e3)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 41 1978 1980 % 10.83/11.12 1982. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (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 (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 1971 1981 774 % 10.92/11.12 1983. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.92/11.12 1984. (((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 71 1983 1199 121 % 10.92/11.12 1985. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.92/11.12 1986. (((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 426 1985 246 834 % 10.92/11.12 1987. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.92/11.12 1988. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ### DisjTree 148 834 960 1987 % 10.92/11.12 1989. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 184 117 1449 1988 % 10.92/11.12 1990. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 612 829 1989 194 % 10.92/11.12 1991. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 404 145 1990 % 10.92/11.12 1992. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 404 145 148 % 10.92/11.12 1993. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 1991 253 1992 % 10.92/11.12 1994. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (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))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 41 177 1980 % 10.92/11.12 1995. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (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) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1993 1994 153 774 % 10.92/11.12 1996. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (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 (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 1494 139 1992 % 10.92/11.12 1997. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 41 1945 1980 % 10.92/11.12 1998. (((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) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((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)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((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)) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1996 1997 153 774 % 10.92/11.12 1999. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (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) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 1986 1995 1998 % 10.92/11.12 2000. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.92/11.12 2001. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 184 117 1449 1973 % 10.92/11.12 2002. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 612 829 2001 194 % 10.92/11.12 2003. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2000 2002 253 1250 % 10.92/11.12 2004. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.92/11.12 2005. (((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 (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2004 1494 253 1250 % 10.92/11.12 2006. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (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) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1986 2003 2005 % 10.92/11.12 2007. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (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 (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1982 1984 1999 2006 % 10.92/11.12 2008. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (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 (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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)) != (op (e0) (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2007 1063 % 10.92/11.12 2009. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (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 (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2008 703 % 10.92/11.12 2010. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (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))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1999 1063 % 10.92/11.13 2011. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (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) (e0)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2010 703 % 10.92/11.13 2012. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (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 (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 2009 2011 % 10.92/11.13 2013. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (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 (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 2012 % 10.92/11.13 2014. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.92/11.13 2015. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 612 2014 1068 121 % 10.92/11.13 2016. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.92/11.13 2017. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 2016 84 735 1384 % 10.92/11.13 2018. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.92/11.13 2019. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.92/11.13 2020. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.92/11.13 2021. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 10.92/11.13 2022. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 2019 2020 2021 % 10.92/11.13 2023. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.92/11.13 2024. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 10.92/11.13 2025. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 10.92/11.13 2026. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) = (e3)) ### TransEq 2023 2024 2025 % 10.92/11.13 2027. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 2022 715 735 2026 % 10.92/11.13 2028. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) = (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ### DisjTree 113 2027 1121 275 % 10.92/11.13 2029. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1110 729 521 2028 % 10.92/11.13 2030. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((e0) != (e2)) ((op (e3) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1096 117 2029 960 % 10.92/11.13 2031. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 612 829 2030 194 % 10.92/11.13 2032. (((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)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((e0) != (e2)) ((op (e3) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2018 2031 50 447 % 10.92/11.13 2033. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.92/11.13 2034. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 10.92/11.13 2035. (((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 (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ### DisjTree 463 181 2034 2026 % 10.92/11.13 2036. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((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))))) ### DisjTree 2035 117 2027 960 % 10.92/11.13 2037. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e1)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 612 829 2036 194 % 10.92/11.13 2038. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((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 (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2033 2037 50 447 % 10.92/11.13 2039. (((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 (e0) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 2017 2032 2038 % 10.92/11.13 2040. (((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 (e3) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((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) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 2015 2039 774 % 10.92/11.13 2041. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 10.92/11.13 2042. (((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 (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 2041 71 50 447 % 10.92/11.13 2043. (((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) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1923 26 2042 774 % 10.92/11.13 2044. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ### DisjTree 113 1020 1384 275 % 10.92/11.13 2045. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e2)) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1111 729 521 2044 % 10.92/11.13 2046. (((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 (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 404 145 2045 % 10.92/11.13 2047. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2046 2015 153 774 % 10.92/11.13 2048. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### DisjTree 863 570 960 1764 % 10.92/11.13 2049. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (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 (e3) (e1))) ((op (e0) (e0)) != (op (e0) (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) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((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 (e0) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (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))))) ### DisjTree 2040 2043 2047 2048 % 10.92/11.13 2050. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e2)) != (op (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) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((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)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2049 311 % 10.92/11.13 2051. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (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 (e3) (e1))) ((op (e0) (e0)) != (op (e0) (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) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((e1) != (e2)) (((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 (e0) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (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))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 2050 703 % 10.92/11.13 2052. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 2047 703 % 10.92/11.13 2053. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e2)) != (op (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) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((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)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 2051 2052 % 10.92/11.13 2054. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (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 (e3) (e1))) ((op (e0) (e0)) != (op (e0) (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) (e3))) ((e1) != (e2)) (((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 (e0) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (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))))) ((op (e2) (e2)) != (op (e3) (e2))) ### ConjTree 2053 % 10.92/11.13 2055. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 1063 % 10.92/11.13 2056. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 1764 % 10.92/11.13 2057. 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(((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1877 1891 1898 1915 1217 1916 1917 1918 1929 1969 2013 2054 276 571 2055 2056 % 10.92/11.13 2058. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = 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/\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ### ConjTree 2057 % 10.92/11.13 2059. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.13 2060. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.13 2061. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.92/11.13 2062. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.13 2063. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ### DisjTree 2061 2062 246 207 % 10.92/11.13 2064. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### DisjTree 139 2063 360 466 % 10.92/11.13 2065. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 2064 211 215 219 % 10.92/11.13 2066. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e2) (e3)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 191 672 629 2065 % 10.92/11.13 2067. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 36 2060 2066 % 10.92/11.13 2068. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 282 454 2059 2067 % 10.92/11.13 2069. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.92/11.13 2070. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.92/11.13 2071. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 46 454 2070 109 % 10.92/11.13 2072. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.92/11.13 2073. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 46 556 2072 109 % 10.92/11.13 2074. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 731 2073 117 729 % 10.92/11.13 2075. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) = (e1)) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e1)) = (e1)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 2071 620 2074 % 10.92/11.13 2076. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 66 296 721 2075 % 10.92/11.13 2077. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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)) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 763 288 454 2076 % 10.92/11.13 2078. ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e2) (e1)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 2077 139 705 % 10.92/11.13 2079. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) ### DisjTree 2069 36 58 2078 % 10.92/11.13 2080. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.13 2081. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e2) (e3)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 191 729 629 2065 % 10.92/11.13 2082. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.92/11.13 2083. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) ((e1) != (e3)) ((op (e3) (e2)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 41 2081 2082 % 10.92/11.13 2084. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e2) (e1)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 153 2079 2080 2083 % 10.92/11.13 2085. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.13 2086. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.13 2087. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) ((e1) != (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 36 2086 2081 % 10.92/11.14 2088. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((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)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e3) (e1)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 282 2084 2085 2087 % 10.92/11.14 2089. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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)) ((e1) != (e2)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 159 288 2068 2088 % 10.92/11.14 2090. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 2089 667 145 148 % 10.92/11.14 2091. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 612 139 2090 % 10.92/11.14 2092. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.14 2093. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.14 2094. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.14 2095. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.14 2096. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.14 2097. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.14 2098. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 615 2097 2064 % 10.92/11.14 2099. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 282 454 2096 2098 % 10.92/11.14 2100. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.92/11.14 2101. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((e0) != (e3)) ((e1) != (e2)) ((op (e0) (e3)) = (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 412 117 640 659 % 10.92/11.14 2102. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.14 2103. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.14 2104. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 153 620 2103 2064 % 10.92/11.14 2105. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (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 (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (e1)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (e3)) ((op (e2) (e3)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 58 2101 2102 2104 % 10.92/11.14 2106. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) = (e0)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 46 2099 2100 2105 % 10.92/11.14 2107. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (e1)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 2106 211 215 219 % 10.92/11.14 2108. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 396 626 629 2107 % 10.92/11.14 2109. ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 721 2095 2108 % 10.92/11.14 2110. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 58 117 2094 2109 % 10.92/11.14 2111. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e2) (e3)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 191 626 198 2065 % 10.92/11.14 2112. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((e0) != (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 145 2110 2111 629 % 10.92/11.14 2113. ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((e1) != (e2)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 412 2112 2111 224 % 10.92/11.14 2114. ((e2) != (e3)) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### DisjTree 139 2113 360 466 % 10.92/11.14 2115. ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 615 2093 2114 % 10.92/11.14 2116. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 58 454 2092 2115 % 10.92/11.14 2117. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.92/11.14 2118. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.14 2119. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.92/11.14 2120. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e1)) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) ### DisjTree 78 1217 2111 2119 % 10.92/11.14 2121. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((e0) != (e3)) ((e1) != (e2)) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e3) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 412 117 2120 659 % 10.92/11.14 2122. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) ((e0) != (e3)) ((op (e2) (e3)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 153 1224 2118 2121 % 10.92/11.14 2123. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.14 2124. ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((e0) != (e3)) ((e1) != (e2)) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 282 2122 2123 2115 % 10.92/11.14 2125. ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 895 2116 2117 2124 % 10.92/11.14 2126. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 2125 667 145 148 % 10.92/11.14 2127. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((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 (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 612 139 2126 % 10.92/11.14 2128. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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 (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 2091 46 2127 % 10.92/11.14 2129. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2128 674 % 10.92/11.14 2130. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (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) (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 (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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 (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 2129 88 % 10.92/11.14 2131. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (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)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### Or 2130 26 % 10.92/11.14 2132. ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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 (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 2131 % 10.92/11.14 2133. (((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) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 2079 46 615 % 10.92/11.14 2134. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2133 759 % 10.92/11.14 2135. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((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) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 2134 687 % 10.92/11.14 2136. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ### Or 2135 763 % 10.92/11.15 2137. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### ConjTree 2136 % 10.92/11.15 2138. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 10.92/11.15 2139. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.92/11.15 2140. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.92/11.15 2141. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) = (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) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) ### DisjTree 2139 809 360 2140 % 10.92/11.15 2142. (((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)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 814 2138 2141 276 % 10.92/11.15 2143. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 2142 789 298 % 10.92/11.15 2144. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((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)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 2143 139 148 % 10.92/11.15 2145. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2144 825 153 373 % 10.92/11.15 2146. (((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))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((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) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 2145 46 396 % 10.92/11.15 2147. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((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))))) ### Or 2146 735 % 10.92/11.15 2148. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((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))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((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) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 2147 859 % 10.92/11.15 2149. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((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 (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 2148 864 % 10.92/11.15 2150. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((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))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((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) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 2149 % 10.92/11.15 2151. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.92/11.15 2152. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.92/11.15 2153. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 895 908 2152 910 % 10.92/11.15 2154. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (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)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 581 2153 884 887 % 10.92/11.15 2155. (((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 (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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2151 2154 917 148 % 10.92/11.15 2156. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 890 139 2155 % 10.92/11.15 2157. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 872 46 2156 % 10.92/11.15 2158. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((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) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2157 735 % 10.92/11.15 2159. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 2158 607 % 10.92/11.15 2160. ((op (e0) (e0)) != (op (e0) (e2))) ((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) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2159 % 10.92/11.15 2161. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.92/11.15 2162. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.92/11.15 2163. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 419 2153 1168 1172 % 10.92/11.15 2164. ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2162 2163 412 396 % 10.92/11.15 2165. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2161 2164 145 148 % 10.92/11.15 2166. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((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) (e2)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (e3)) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 1174 139 2165 % 10.92/11.15 2167. ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (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)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((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) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 1164 46 2166 % 10.92/11.15 2168. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (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)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (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) (e2)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((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) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### Or 2167 735 % 10.92/11.15 2169. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e0)) != (op (e2) (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)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((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) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### Or 2168 607 % 10.92/11.15 2170. ((op (e0) (e0)) != (op (e0) (e2))) ((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 (e2) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (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) (e2)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((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) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### ConjTree 2169 % 10.92/11.15 2171. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((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) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ### DisjTree 601 602 603 608 2132 697 2137 778 779 780 781 782 2150 870 2160 2170 % 10.92/11.15 2172. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) 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(((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ### ConjTree 2171 % 10.92/11.15 2173. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.92/11.15 2174. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.15 2175. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.15 2176. (((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 (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 715 174 2175 224 % 10.92/11.15 2177. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e2) (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))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 184 187 1599 2176 % 10.92/11.15 2178. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e2) != (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 (e2) (e3)) = (e1)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((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))))) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1593 721 1199 2177 % 10.92/11.15 2179. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 177 174 2174 2178 % 10.92/11.15 2180. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.92/11.15 2181. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e2) != (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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2179 1292 2180 109 % 10.92/11.15 2182. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1582 2181 187 729 % 10.92/11.16 2183. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e2) != (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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 426 434 721 2182 % 10.92/11.16 2184. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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 (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### DisjTree 1574 2173 1292 2183 % 10.92/11.16 2185. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.92/11.16 2186. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) (((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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2184 2185 1191 1580 % 10.92/11.16 2187. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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 (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 36 1587 2186 % 10.92/11.16 2188. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (((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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 2187 710 1615 % 10.92/11.16 2189. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (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 (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ### Or 2188 1636 % 10.92/11.16 2190. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 2189 88 % 10.92/11.16 2191. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (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 (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ### Or 2190 36 % 10.92/11.16 2192. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ### ConjTree 2191 % 10.92/11.16 2193. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.92/11.16 2194. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.16 2195. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) = (e0)) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 715 174 2194 1428 % 10.92/11.16 2196. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e2) != (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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2179 2193 1475 2195 % 10.92/11.16 2197. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((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))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 36 177 2196 % 10.92/11.16 2198. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1647 2197 710 1666 % 10.92/11.16 2199. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (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 (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 2198 1670 % 10.92/11.16 2200. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (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))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 2199 36 % 10.92/11.16 2201. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (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 (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2200 % 10.92/11.16 2202. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.92/11.16 2203. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.16 2204. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.92/11.16 2205. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 634 2203 311 2204 % 10.92/11.16 2206. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### DisjTree 139 721 1199 2205 % 10.92/11.16 2207. ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e1)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (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)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 2206 1191 1697 1699 % 10.92/11.16 2208. (((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)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2202 667 2207 353 % 10.92/11.16 2209. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) = (e1)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 36 1690 2208 % 10.92/11.16 2210. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 2209 710 1703 % 10.92/11.16 2211. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1593 721 1199 1696 % 10.92/11.16 2212. ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e1)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (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)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 2206 1191 2211 1699 % 10.92/11.16 2213. (((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) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 36 1690 2212 % 10.92/11.16 2214. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) != (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)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1707 2213 710 1049 % 10.92/11.16 2215. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.16 2216. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 10.92/11.16 2217. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### DisjTree 345 2215 1199 2216 % 10.92/11.16 2218. (((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))))) ((e0) != (e2)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (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) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 2214 2217 1711 % 10.92/11.16 2219. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2210 1705 2206 2218 % 10.92/11.16 2220. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((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)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2219 1068 % 10.92/11.16 2221. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 2220 703 % 10.92/11.16 2222. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (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 (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((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))))) ### Or 2218 1068 % 10.92/11.16 2223. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 2221 2222 % 10.92/11.16 2224. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 2223 % 10.92/11.16 2225. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.16 2226. (((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 (e3) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 841 505 2225 224 % 10.92/11.16 2227. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1738 1072 174 2226 % 10.92/11.16 2228. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 136 167 2227 1250 % 10.92/11.16 2229. (((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))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2228 1738 710 1049 % 10.92/11.16 2230. (((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))))) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1727 2217 2229 % 10.92/11.16 2231. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((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))))) ((e0) != (e2)) ((op (e2) (e1)) != (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)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((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) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1725 1705 2206 2230 % 10.92/11.16 2232. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) (((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 (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2231 1068 % 10.92/11.17 2233. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((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))))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((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) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 2232 703 % 10.92/11.17 2234. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((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))))) ### Or 2230 1153 % 10.92/11.17 2235. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((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))))) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((e2) != (e3)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 2234 703 % 10.92/11.17 2236. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) (((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 (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 2233 2235 % 10.92/11.17 2237. ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((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))))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((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) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 2236 % 10.92/11.17 2238. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 10.92/11.17 2239. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e3) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1797 1696 1384 384 % 10.92/11.17 2240. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1769 721 1199 2239 % 10.92/11.17 2241. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (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)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 2206 1191 2240 1786 % 10.92/11.17 2242. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2238 2241 1096 1410 % 10.92/11.17 2243. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1769 721 1199 1696 % 10.92/11.17 2244. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e1)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (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)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 2206 1191 2243 1786 % 10.92/11.17 2245. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (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)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (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)) ((e0) != (e1)) ### DisjTree 1551 1767 2242 2244 % 10.92/11.17 2246. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 2245 710 1774 % 10.92/11.17 2247. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (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) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1789 2217 1798 % 10.92/11.17 2248. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (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)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (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) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2246 1705 2206 2247 % 10.92/11.17 2249. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2248 1068 % 10.92/11.17 2250. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (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) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 2249 703 % 10.92/11.17 2251. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((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) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2247 1068 % 10.92/11.17 2252. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e2)) != (op (e1) (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) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (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) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ### Or 2251 703 % 10.92/11.17 2253. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 2250 2252 % 10.92/11.17 2254. ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (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 (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (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 (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 2253 % 10.92/11.17 2255. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (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 (e1) (e0)) != (op (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 (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (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 (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 2192 1641 2201 1682 653 1683 1684 1685 1686 1687 1454 1688 822 2224 2237 2254 % 10.92/11.17 2256. 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(((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (-. 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((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 10.92/11.17 2258. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ ((op (e2) (e2)) = (e2)))) ### ConjTree 2257 % 10.92/11.17 2259. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ ((op (e3) (e2)) = (e3)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (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 (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((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))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ### ConjTree 1155 % 10.92/11.18 2260. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.18 2261. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.92/11.18 2262. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.92/11.18 2263. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((op (e3) (e2)) = (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) ### DisjTree 2261 2262 329 1163 % 10.92/11.18 2264. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 1191 2260 2263 % 10.92/11.18 2265. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.92/11.18 2266. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.92/11.18 2267. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 396 1256 1211 2266 % 10.92/11.18 2268. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e3)) ((e2) != (e3)) ### DisjTree 407 1195 1199 2267 % 10.97/11.18 2269. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (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)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 145 2268 345 1241 % 10.97/11.18 2270. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 2269 282 157 364 % 10.97/11.18 2271. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (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)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 634 1270 75 2270 % 10.97/11.18 2272. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.97/11.18 2273. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 379 770 2271 2272 % 10.97/11.18 2274. ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 978 2273 1199 466 % 10.97/11.18 2275. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.97/11.18 2276. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e1) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e3) (e0)) = (e3)) ((e1) != (e2)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 230 1213 2275 2263 % 10.97/11.18 2277. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e3)) ((op (e2) (e2)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2276 509 246 442 % 10.97/11.18 2278. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e3) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 307 2277 1256 510 % 10.97/11.18 2279. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 1270 253 442 % 10.97/11.18 2280. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1215 2279 1449 629 % 10.97/11.18 2281. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.18 2282. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e3)) ((op (e2) (e2)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 2278 2280 2281 % 10.97/11.18 2283. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e3) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 2282 2279 1449 629 % 10.97/11.18 2284. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e3) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 2274 2283 1219 % 10.97/11.18 2285. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 1224 2265 2284 % 10.97/11.18 2286. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.97/11.18 2287. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((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))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 1241 2280 1219 % 10.97/11.18 2288. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e2) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 1224 2286 2287 % 10.97/11.18 2289. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 2264 2285 2288 % 10.97/11.18 2290. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 2289 612 1299 1250 % 10.97/11.18 2291. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.97/11.18 2292. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e2) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 1231 2291 2287 % 10.97/11.18 2293. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((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))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 2264 345 2292 % 10.97/11.18 2294. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e2) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 2293 612 1247 1250 % 10.97/11.18 2295. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((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 (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 2290 2294 396 % 10.97/11.18 2296. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (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 (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2295 275 % 10.97/11.18 2297. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 978 426 88 493 % 10.97/11.18 2298. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.18 2299. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 1256 521 2298 % 10.97/11.18 2300. ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2297 2273 1199 2299 % 10.97/11.18 2301. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 438 2300 1241 % 10.97/11.18 2302. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2301 167 2297 1250 % 10.97/11.18 2303. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1247 1195 1199 2267 % 10.97/11.18 2304. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 2303 345 1241 % 10.97/11.18 2305. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (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) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 2302 2304 396 % 10.97/11.18 2306. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2305 275 % 10.97/11.18 2307. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((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 (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 2296 2306 % 10.97/11.18 2308. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e0)) != (op (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)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### Or 2307 26 % 10.97/11.18 2309. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 2308 % 10.97/11.18 2310. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 10.97/11.18 2311. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 10.97/11.18 2312. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 288 2311 320 1034 % 10.97/11.18 2313. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.18 2314. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 847 2312 2313 % 10.97/11.18 2315. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 301 1034 2314 570 % 10.97/11.18 2316. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 191 2315 230 863 % 10.97/11.18 2317. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 2310 770 2316 1049 % 10.97/11.18 2318. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((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 (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e1)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 2317 1304 396 % 10.97/11.18 2319. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2318 292 % 10.97/11.18 2320. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((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 (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ### Or 2319 21 % 10.97/11.18 2321. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (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) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 2320 % 10.97/11.19 2322. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 10.97/11.19 2323. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.19 2324. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.19 2325. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e2) (e1)) = (e0)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e0)) ### DisjTree 2323 905 2324 1163 % 10.97/11.19 2326. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2325 687 88 726 % 10.97/11.19 2327. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1314 2322 88 2326 % 10.97/11.19 2328. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.19 2329. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 396 1352 1393 2328 % 10.97/11.19 2330. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.19 2331. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 1340 1342 2330 % 10.97/11.19 2332. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1020 2331 509 905 % 10.97/11.19 2333. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.19 2334. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e1)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 493 2332 1312 2333 % 10.97/11.19 2335. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 407 2329 2334 333 % 10.97/11.19 2336. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.19 2337. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 942 1352 320 2336 % 10.97/11.19 2338. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (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)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 407 2337 2334 333 % 10.97/11.19 2339. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 1402 505 509 905 % 10.97/11.19 2340. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e1)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 2335 2338 174 2339 % 10.97/11.19 2341. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.19 2342. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((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)) = (e3)) ((e0) != (e3)) ### DisjTree 396 1353 1342 2341 % 10.97/11.19 2343. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 1026 2340 2342 % 10.97/11.19 2344. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e2)) != (op (e1) (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 (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1320 2327 2343 1357 % 10.97/11.19 2345. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (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) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((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)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1320 2327 1353 1357 % 10.97/11.19 2346. (((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))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 95 288 2344 2345 % 10.97/11.19 2347. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e2)) != (op (e1) (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 (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((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 (e0) (e1)) != (op (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)) = (e1)) ((e1) != (e3)) ### DisjTree 142 2346 407 863 % 10.97/11.19 2348. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((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) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2347 1362 50 1049 % 10.97/11.19 2349. (((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) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e2)) != (op (e1) (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 (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((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 (e0) (e1)) != (op (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))))) ((e1) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 2348 46 396 % 10.97/11.19 2350. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((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) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2349 333 % 10.97/11.19 2351. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 95 288 2343 1353 % 10.97/11.19 2352. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 191 2351 407 863 % 10.97/11.19 2353. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2352 1362 50 1049 % 10.97/11.19 2354. (((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) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 2353 46 396 % 10.97/11.19 2355. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2354 333 % 10.97/11.19 2356. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (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) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e2)) != (op (e1) (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 (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### Or 2350 2355 % 10.97/11.19 2357. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((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) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 2356 139 % 10.97/11.19 2358. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (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) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (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 (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 2357 % 10.97/11.19 2359. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.19 2360. (((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 (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 895 1388 521 2359 % 10.97/11.19 2361. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 177 687 2360 339 % 10.97/11.19 2362. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.19 2363. (((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) (e2)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 863 928 479 2362 % 10.97/11.19 2364. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e0)) ((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))))) ### DisjTree 2363 570 960 1163 % 10.97/11.19 2365. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((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) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 607 2364 345 521 % 10.97/11.19 2366. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2017 2361 1398 2365 % 10.97/11.19 2367. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 924 1385 2366 396 % 10.97/11.19 2368. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2367 607 % 10.97/11.19 2369. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 2368 % 10.97/11.19 2370. 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(e1)) != (op (e2) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (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 (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e3)) != (e0)) (-. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) 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((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ### ConjTree 2370 % 10.97/11.19 2372. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.19 2373. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.97/11.19 2374. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e0)) ### DisjTree 2372 2373 625 1764 % 10.97/11.20 2375. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((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 (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (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))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1826 612 1841 2374 % 10.97/11.20 2376. (((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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) (((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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 41 2375 1856 % 10.97/11.20 2377. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.97/11.20 2378. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (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 (e1) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) (((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 (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 612 1832 2374 % 10.97/11.20 2379. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 1870 50 2374 % 10.97/11.20 2380. (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (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))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (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) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 2378 2379 774 % 10.97/11.20 2381. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (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 (e1) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 2380 275 % 10.97/11.20 2382. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.20 2383. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 61 729 320 2382 % 10.97/11.20 2384. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 230 2383 1449 1063 % 10.97/11.20 2385. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((op (e3) (e3)) != (e0)) ((op (e1) (e1)) = (e2)) ((op (e3) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((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)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (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) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### DisjTree 2381 174 2384 930 % 10.97/11.20 2386. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (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 (e1) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) != (e0)) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1817 2385 1195 834 % 10.97/11.20 2387. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (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) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 829 2386 194 % 10.97/11.20 2388. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (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 (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (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) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1862 2377 2387 638 % 10.97/11.20 2389. 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(((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((e2) != (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)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((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 (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (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 (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 41 1864 2388 % 10.97/11.20 2390. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (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 (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((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)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (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))))) ((op (e1) (e1)) != (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)) != (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((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)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 2376 2389 774 % 10.97/11.20 2391. ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (e0)) (((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)) != (e0)) (((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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### Or 2390 275 % 10.97/11.20 2392. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (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 (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((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)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (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))))) ((op (e1) (e1)) != (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))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((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)) = (e0)) ((e0) != (e1)) ### Or 2391 2381 % 10.97/11.20 2393. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((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 (e0) (e1)) != (op (e1) (e1))) (((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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (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 (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### Or 2392 41 % 10.97/11.20 2394. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (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 (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((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)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (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))))) ((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))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ### ConjTree 2393 % 10.97/11.20 2395. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 157 71 50 2374 % 10.97/11.20 2396. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((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)) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1884 26 2395 774 % 10.97/11.20 2397. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (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 2396 275 % 10.97/11.20 2398. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (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) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((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 (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 1881 2397 % 10.97/11.20 2399. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (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 (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### Or 2398 41 % 10.97/11.20 2400. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (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) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((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 (e1) (e0)) != (op (e1) (e3))) ### ConjTree 2399 % 10.97/11.20 2401. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.97/11.20 2402. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.20 2403. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ### DisjTree 1121 2401 2402 1764 % 10.97/11.20 2404. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.20 2405. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2403 121 466 2404 % 10.97/11.20 2406. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 50 703 950 2405 % 10.97/11.20 2407. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 41 2406 1920 % 10.97/11.20 2408. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) = (e2)) ((e1) != (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)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 2407 50 774 % 10.97/11.20 2409. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) = (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)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1923 2407 50 774 % 10.97/11.20 2410. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.97/11.20 2411. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.20 2412. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 1204 2410 2411 1764 % 10.97/11.20 2413. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2408 2409 139 2412 % 10.97/11.20 2414. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (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 (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2413 1063 % 10.97/11.20 2415. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (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 (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2414 703 % 10.97/11.20 2416. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e3) (e1)) != (op (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) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2415 % 10.97/11.20 2417. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.97/11.20 2418. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e2) (e0)) = (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1937 505 2405 2417 % 10.97/11.20 2419. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 829 2418 194 % 10.97/11.20 2420. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e2) (e0)) = (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2419 703 950 2405 % 10.97/11.20 2421. (((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))))) ((e1) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 41 2420 1937 % 10.97/11.20 2422. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1878 41 2419 1937 % 10.97/11.20 2423. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1878 2421 2422 774 % 10.97/11.20 2424. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 2423 1063 % 10.97/11.20 2425. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e1) (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)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 2424 % 10.97/11.20 2426. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.20 2427. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2403 121 311 2426 % 10.97/11.20 2428. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1551 41 2427 1980 % 10.97/11.20 2429. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 41 2427 1980 % 10.97/11.20 2430. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 2429 829 1989 194 % 10.97/11.20 2431. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 142 404 145 2430 % 10.97/11.20 2432. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2431 2429 153 774 % 10.97/11.20 2433. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.97/11.20 2434. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 61 194 1944 2433 % 10.97/11.20 2435. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((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 (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (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) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 600 1986 2432 2434 % 10.97/11.20 2436. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e2)) ((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) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 2428 1984 2435 2412 % 10.97/11.20 2437. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((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 (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2436 1063 % 10.97/11.21 2438. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e2)) ((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 (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (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) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2437 703 % 10.97/11.21 2439. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((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 (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 2438 % 10.97/11.21 2440. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.97/11.21 2441. (((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 (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1020 505 466 2440 % 10.97/11.21 2442. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 829 2441 194 % 10.97/11.21 2443. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.97/11.21 2444. (((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 (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 2027 505 466 2443 % 10.97/11.21 2445. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1096 117 2444 960 % 10.97/11.21 2446. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) (((op (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 (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 171 829 2445 194 % 10.97/11.21 2447. (((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 (e0) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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)) = (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2442 2017 2446 2038 % 10.97/11.21 2448. (((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 (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((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) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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)) = (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2442 2015 2447 774 % 10.97/11.21 2449. (((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)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((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)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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)) = (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2442 2015 2042 774 % 10.97/11.21 2450. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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)) = (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2442 2015 153 774 % 10.97/11.21 2451. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (e2)) (((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 (e0) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (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))))) ### DisjTree 2448 2449 2450 2048 % 10.97/11.21 2452. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (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) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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)) = (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2451 954 % 10.97/11.21 2453. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (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 (e0) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (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))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 2452 703 % 10.97/11.21 2454. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((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))))) ### Or 2450 703 % 10.97/11.21 2455. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (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) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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)) = (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 2453 2454 % 10.97/11.21 2456. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (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) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (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 (e0) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (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))))) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 2455 % 10.97/11.21 2457. 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(((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (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) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (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) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e2)) != (op (e3) (e2))) (-. 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(((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((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 (e0) (e1)) != (op (e1) (e1))) (((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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2394 2400 1898 1915 1217 1916 1917 1918 2416 2425 2439 2456 276 571 2055 2056 % 10.97/11.21 2458. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ ((op (e1) (e3)) = (e1)))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (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 (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((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)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (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))))) ((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))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ### ConjTree 2457 % 10.97/11.21 2459. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.21 2460. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 91 128 883 2459 % 10.97/11.21 2461. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.21 2462. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 91 905 883 2461 % 10.97/11.21 2463. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e1)) = (e0)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 61 2460 629 2462 % 10.97/11.21 2464. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((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) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 943 683 979 982 % 10.97/11.21 2465. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.21 2466. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 2463 2464 934 2465 % 10.97/11.21 2467. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.97/11.21 2468. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 991 2466 2467 479 % 10.97/11.21 2469. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.21 2470. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 2463 943 934 2469 % 10.97/11.21 2471. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.97/11.21 2472. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 998 2470 2471 479 % 10.97/11.21 2473. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.21 2474. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 307 128 883 2473 % 10.97/11.21 2475. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (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) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 2468 31 2472 2474 % 10.97/11.21 2476. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.21 2477. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.21 2478. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ### DisjTree 2476 475 2477 967 % 10.97/11.21 2479. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2478 638 339 905 % 10.97/11.21 2480. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.21 2481. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 1014 2479 479 2480 % 10.97/11.21 2482. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((e1) != (e2)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 955 687 2481 339 % 10.97/11.21 2483. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.21 2484. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((e1) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 307 2482 883 2483 % 10.97/11.21 2485. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.97/11.21 2486. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((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)) = (e1)) (((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 (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 992 2484 2485 479 % 10.97/11.21 2487. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (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) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2475 2486 979 982 % 10.97/11.21 2488. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (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) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (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) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 2487 71 985 447 % 10.97/11.21 2489. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (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) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 2488 333 % 10.97/11.21 2490. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (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) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (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) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 2489 735 % 10.97/11.21 2491. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (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) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (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) (e0)) != (op (e2) (e3))) ### ConjTree 2490 % 10.97/11.21 2492. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 10.97/11.21 2493. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e3) (e1)) = (e0)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 955 117 798 339 % 10.97/11.21 2494. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.21 2495. (((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)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 2463 2493 934 2494 % 10.97/11.21 2496. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e2) (e1)) = (e0)) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (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)) = (e0)) ((e0) != (e3)) ### DisjTree 184 2495 198 960 % 10.97/11.21 2497. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e1) != (e3)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 71 2492 2496 1000 % 10.97/11.21 2498. (((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)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 992 2497 139 447 % 10.97/11.22 2499. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 2498 333 % 10.97/11.22 2500. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (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)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 2499 735 % 10.97/11.22 2501. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 10.97/11.22 2502. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((e0) != (e1)) ((e0) != (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2460 847 934 2501 % 10.97/11.22 2503. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 423 31 998 2502 % 10.97/11.22 2504. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 54 31 998 2502 % 10.97/11.22 2505. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((e0) != (e2)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2503 1005 1013 2504 % 10.97/11.22 2506. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (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)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 2505 333 % 10.97/11.22 2507. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e2)) ((e1) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 2506 735 % 10.97/11.22 2508. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (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)) = (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### Or 2500 2507 % 10.97/11.22 2509. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) ((op (e2) (e0)) != (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (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 (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### ConjTree 2508 % 10.97/11.22 2510. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 10.97/11.22 2511. (((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)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 895 2463 2510 479 % 10.97/11.22 2512. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### Or 2511 735 % 10.97/11.22 2513. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 2512 % 10.97/11.22 2514. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 10.97/11.22 2515. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.22 2516. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ### DisjTree 113 2514 2515 967 % 10.97/11.22 2517. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 10.97/11.22 2518. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ### DisjTree 1121 128 883 2517 % 10.97/11.22 2519. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2516 847 934 2518 % 10.97/11.22 2520. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 10.97/11.22 2521. (((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 (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 2519 505 2520 339 % 10.97/11.22 2522. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (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))))) ### Or 2521 1063 % 10.97/11.22 2523. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### Or 2522 1068 % 10.97/11.22 2524. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 2523 % 10.97/11.22 2525. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((e1) != (e3)) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (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) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (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 (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ### DisjTree 938 2491 2509 2513 1070 1084 1104 2524 1148 1149 1150 1151 334 1152 1153 1154 % 10.97/11.22 2526. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ ((op (e2) (e3)) = (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (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) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. 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(((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3)))))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3)))))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3)))))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))) ### ConjTree 2525 % 10.97/11.22 2527. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 10.97/11.22 2528. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ ((op (e3) (e3)) = (e3)))) ### ConjTree 2527 % 10.97/11.22 2529. 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(((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (-. 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(((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. 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(((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. 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(((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### And 2529 % 10.97/11.22 2531. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((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 (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((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 (e2) (e0)) != (op (e2) (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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ ((op (e0) (e0)) = (e0)))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ ((op (e1) (e0)) = (e1)))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ ((op (e2) (e0)) = (e2)))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ ((op (e3) (e0)) = (e3)))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ ((op (e0) (e1)) = (e0)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ ((op (e1) (e1)) = (e1)))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ ((op (e2) (e1)) = (e2)))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ ((op (e3) (e1)) = (e3)))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ ((op (e0) (e2)) = (e0)))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ ((op (e1) (e2)) = (e1)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ ((op (e2) (e2)) = (e2)))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ ((op (e3) (e2)) = (e3)))) \/ ((((op (e3) (e0)) = (e3)) /\ 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(e3)) = (e3)))))))))))))))))))))))) ### ConjTree 2530 % 10.97/11.23 2532. 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(e3)))))))))))))))))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (((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) (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 (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 (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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 (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ### ConjTree 2531 % 10.97/11.23 2533. 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\/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))))))))))))))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (e1) (e1)))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (e2) (e2)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e1) = (op (e3) (op (e3) (e3)))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (e2) (e2)))))) (-. (((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (e2) (e2)))))) (-. (((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e0) = (op (e3) (e3)))))) (-. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) /\ (((e2) = (op (e3) (op (e3) (e3)))) /\ ((e1) = (op (e3) (e3)))))) (((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 2533 % 10.97/11.23 % SZS output end Proof % 10.97/11.23 (* END-PROOF *) %------------------------------------------------------------------------------