%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG142+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 : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 18:05:39 EDT 2022 % Result : Unsatisfiable 2.24s 2.47s % Output : Proof 2.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : ALG142+1 : TPTP v8.1.0. Released v2.7.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n029.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jun 8 10:16:51 EDT 2022 % 0.12/0.33 % CPUTime : % 2.24/2.47 % SZS status Theorem % 2.24/2.47 (* PROOF-FOUND *) % 2.24/2.47 (* BEGIN-PROOF *) % 2.24/2.47 % SZS output start Proof % 2.24/2.47 1. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 2.24/2.47 2. (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))) ### And 1 % 2.24/2.47 3. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 2.24/2.47 4. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 2.24/2.47 5. ((e3) != (e3)) ### NotEqual % 2.24/2.47 6. ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) = (e2)) ### TransEq 3 4 5 % 2.24/2.47 7. (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### And 6 % 2.24/2.47 8. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 2.24/2.47 9. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 10. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 11. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 2.24/2.47 12. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e1)) ### TransEq 9 10 11 % 2.24/2.47 13. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 14. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 15. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 2.24/2.47 16. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) = (e2)) ### TransEq 13 14 15 % 2.24/2.47 17. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.47 18. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.47 19. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 2.24/2.47 20. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 17 18 19 % 2.24/2.47 21. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 8 12 16 20 % 2.24/2.47 22. (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### And 21 % 2.24/2.47 23. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 2.24/2.47 24. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 25. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 26. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 2.24/2.47 27. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq 24 25 26 % 2.24/2.47 28. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 29. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 30. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 2.24/2.47 31. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e2)) ### TransEq 28 29 30 % 2.24/2.47 32. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.47 33. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.47 34. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 2.24/2.47 35. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 32 33 34 % 2.24/2.47 36. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 23 27 31 35 % 2.24/2.47 37. (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### And 36 % 2.24/2.47 38. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 2.24/2.47 39. (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))) ### And 38 % 2.24/2.47 40. ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ### DisjTree 7 22 37 39 % 2.24/2.47 41. (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))) ((e2) != (e3)) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) \/ ((((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) \/ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))) ### And 40 % 2.24/2.47 42. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 2.24/2.47 43. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 2.24/2.47 44. ((e2) != (e2)) ### NotEqual % 2.24/2.47 45. ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) ### TransEq 42 43 44 % 2.24/2.47 46. (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ### And 45 % 2.24/2.47 47. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 2.24/2.47 48. (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))) ### And 47 % 2.24/2.47 49. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 2.24/2.47 50. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 51. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 52. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 2.24/2.47 53. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e3)) = (e1)) ### TransEq 50 51 52 % 2.24/2.47 54. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.47 55. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.47 56. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 2.24/2.47 57. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 54 55 56 % 2.24/2.47 58. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 59. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 60. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 2.24/2.47 61. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e3)) ### TransEq 58 59 60 % 2.24/2.47 62. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (e0)) ### DisjTree 49 53 57 61 % 2.24/2.47 63. (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ### And 62 % 2.24/2.47 64. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 2.24/2.47 65. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 2.24/2.47 66. ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) = (e0)) ### TransEq 64 65 5 % 2.24/2.47 67. (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ### And 66 % 2.24/2.47 68. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 2.24/2.47 69. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 2.24/2.47 70. ((e1) != (e1)) ### NotEqual % 2.24/2.47 71. ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ### TransEq 68 69 70 % 2.24/2.47 72. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 2.24/2.47 73. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 2.24/2.47 74. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 2.24/2.47 75. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 2.24/2.47 76. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq-sym 73 74 75 % 2.24/2.47 77. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.47 78. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.47 79. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 2.24/2.47 80. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 77 78 79 % 2.24/2.47 81. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 2.24/2.47 82. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 2.24/2.47 83. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 2.24/2.47 84. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 81 82 83 % 2.24/2.47 85. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 2.24/2.47 86. ((op (e2) (op (e2) (e2))) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 44 85 % 2.24/2.47 87. ((e0) != (e0)) ### NotEqual % 2.24/2.47 88. ((e0) != (op (e2) (op (e2) (e2)))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans-sym 86 87 % 2.24/2.47 89. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 2.24/2.47 90. ((op (op (e2) (e2)) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) ### NotEqual 89 44 % 2.24/2.47 91. ((e1) != (op (op (e2) (e2)) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 90 70 % 2.24/2.47 92. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 2.24/2.47 93. (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e0)) ### DisjTree 88 91 92 % 2.24/2.47 94. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.47 95. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.47 96. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 2.24/2.47 97. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq-sym 94 95 96 % 2.24/2.47 98. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 2.24/2.47 99. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 84 93 97 98 % 2.24/2.47 100. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 2.24/2.47 101. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 2.24/2.47 102. ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) = (e0)) ### TransEq 100 101 44 % 2.24/2.47 103. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 2.24/2.47 104. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 2.24/2.47 105. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.47 106. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.47 107. ((op (e0) (e3)) = (e0)) ((e0) != (op (e0) (e3))) ### Sym(=) % 2.24/2.47 108. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) = (e0)) ### TransEq-sym 105 106 107 % 2.24/2.47 109. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 102 103 104 108 % 2.24/2.47 110. (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))) ((e0) != (e2)) ((op (e0) (e1)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### And 109 % 2.24/2.47 111. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 2.24/2.47 112. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.47 113. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.47 114. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 2.24/2.47 115. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 112 113 114 % 2.24/2.47 116. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 117. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 118. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 2.24/2.47 119. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq 116 117 118 % 2.24/2.47 120. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 111 12 115 119 % 2.24/2.47 121. (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### And 120 % 2.24/2.47 122. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 2.24/2.47 123. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 2.24/2.47 124. ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 122 123 44 % 2.24/2.47 125. (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ### And 124 % 2.24/2.47 126. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 2.24/2.47 127. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 2.24/2.47 128. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 2.24/2.47 129. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 2.24/2.47 130. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 127 128 129 % 2.24/2.47 131. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 2.24/2.47 132. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.47 133. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.47 134. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 2.24/2.47 135. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq 132 133 134 % 2.24/2.47 136. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.47 137. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.47 138. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 2.24/2.47 139. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 136 137 138 % 2.24/2.47 140. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ### DisjTree 130 131 135 139 % 2.24/2.47 141. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 71 126 140 108 % 2.24/2.47 142. (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### And 141 % 2.24/2.47 143. ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) \/ ((((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) \/ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e1)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 121 125 142 39 % 2.24/2.47 144. (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) \/ ((((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) \/ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))) ### And 143 % 2.24/2.47 145. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 2.24/2.47 146. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 2.24/2.47 147. ((e0) != (e2)) ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) = (e2)) ### TransEq-sym 145 146 87 % 2.24/2.47 148. (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ### And 147 % 2.24/2.47 149. ((((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)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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 (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e1)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (e0)) ((e0) != (e2)) ### DisjTree 110 144 48 148 % 2.24/2.47 150. (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (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)))))) ### And 149 % 2.24/2.47 151. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 2.24/2.47 152. (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))) ### And 151 % 2.24/2.47 153. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 2.24/2.47 154. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 2.24/2.47 155. ((e0) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 153 154 87 % 2.24/2.47 156. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 2.24/2.47 157. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 2.24/2.47 158. ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) = (e1)) ### TransEq 156 157 5 % 2.24/2.47 159. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.47 160. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.47 161. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=) % 2.24/2.47 162. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq-sym 159 160 161 % 2.24/2.47 163. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 2.24/2.47 164. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 155 158 162 163 % 2.24/2.47 165. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 2.24/2.47 166. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 2.24/2.47 167. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 2.24/2.47 168. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 165 166 167 % 2.24/2.47 169. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.47 170. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.47 171. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 2.24/2.47 172. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq-sym 169 170 171 % 2.24/2.47 173. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 2.24/2.47 174. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.47 175. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.47 176. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 2.24/2.47 177. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq 174 175 176 % 2.24/2.47 178. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 168 172 173 177 % 2.24/2.47 179. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.47 180. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.47 181. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 2.24/2.47 182. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) = (e0)) ### TransEq-sym 179 180 181 % 2.24/2.47 183. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 102 164 178 182 % 2.24/2.47 184. (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### And 183 % 2.24/2.47 185. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 2.24/2.47 186. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 2.24/2.47 187. ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 185 186 70 % 2.24/2.47 188. (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ### And 187 % 2.24/2.47 189. ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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) (e3)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ### DisjTree 7 184 188 39 % 2.24/2.47 190. (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))) ((e2) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) \/ ((((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) \/ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))) ### And 189 % 2.24/2.47 191. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 2.24/2.47 192. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 2.24/2.47 193. ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) = (e0)) ### TransEq 191 192 5 % 2.24/2.47 194. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 2.24/2.47 195. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 2.24/2.47 196. ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) = (e1)) ### TransEq 194 195 44 % 2.24/2.47 197. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 2.24/2.47 198. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 199. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 2.24/2.47 200. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 2.24/2.47 201. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq 198 199 200 % 2.24/2.47 202. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.47 203. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.47 204. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 2.24/2.47 205. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 202 203 204 % 2.24/2.47 206. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 2.24/2.47 207. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 2.24/2.47 208. ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 206 207 87 % 2.24/2.47 209. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 2.24/2.47 210. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 2.24/2.47 211. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=) % 2.24/2.47 212. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 209 210 211 % 2.24/2.47 213. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.47 214. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.47 215. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 2.24/2.47 216. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq-sym 213 214 215 % 2.24/2.47 217. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 212 45 168 216 % 2.24/2.47 218. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 2.24/2.47 219. ((op (e1) (op (e1) (e1))) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ### NotEqual 70 218 % 2.24/2.47 220. ((e0) != (op (e1) (op (e1) (e1)))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### Trans-sym 219 87 % 2.24/2.47 221. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 2.24/2.47 222. ((op (op (e1) (e1)) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) ### NotEqual 221 70 % 2.24/2.47 223. ((e3) != (op (op (e1) (e1)) (e1))) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 222 5 % 2.24/2.47 224. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 2.24/2.47 225. (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e0)) ### DisjTree 220 223 224 % 2.24/2.47 226. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 2.24/2.47 227. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 2.24/2.47 228. ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) = (e0)) ### TransEq 226 227 70 % 2.24/2.47 229. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.47 230. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.47 231. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 2.24/2.47 232. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq-sym 229 230 231 % 2.24/2.47 233. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e2) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 217 225 228 232 % 2.24/2.47 234. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 2.24/2.47 235. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 2.24/2.47 236. ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 234 235 70 % 2.24/2.47 237. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=) % 2.24/2.47 238. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=) % 2.24/2.47 239. ((e1) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) = (e3)) ### TransEq-sym 237 238 70 % 2.24/2.47 240. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.47 241. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.47 242. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 2.24/2.47 243. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 240 241 242 % 2.24/2.47 244. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 2.24/2.47 245. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 2.24/2.47 246. ((e0) != (e1)) ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) = (e1)) ### TransEq-sym 244 245 87 % 2.24/2.47 247. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 236 239 243 246 % 2.24/2.47 248. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e3) (e0)) = (e2)) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 119 124 233 247 % 2.24/2.48 249. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 6 205 208 248 % 2.24/2.48 250. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 2.24/2.48 251. ((op (e2) (op (e2) (e2))) != (op (e2) (e1))) ((op (e2) (e2)) = (e1)) ### NotEqual 44 250 % 2.24/2.48 252. ((e0) != (op (e2) (op (e2) (e2)))) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### Trans-sym 251 87 % 2.24/2.48 253. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 2.24/2.48 254. ((op (op (e2) (e2)) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e1)) ### NotEqual 253 44 % 2.24/2.48 255. ((e3) != (op (op (e2) (e2)) (e2))) ((op (e1) (e2)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans-sym 254 5 % 2.24/2.48 256. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 2.24/2.48 257. (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e2)) = (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e0)) ### DisjTree 252 255 256 % 2.24/2.48 258. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.48 259. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.48 260. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 2.24/2.48 261. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq-sym 258 259 260 % 2.24/2.48 262. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 249 257 228 261 % 2.24/2.48 263. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 2.24/2.48 264. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 2.24/2.48 265. ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 263 264 70 % 2.24/2.48 266. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 201 124 262 265 % 2.24/2.48 267. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 155 196 197 266 % 2.24/2.48 268. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 193 267 249 182 % 2.24/2.48 269. (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) ((e0) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### And 268 % 2.24/2.48 270. ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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) (e3))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e3)) ### DisjTree 269 125 188 39 % 2.24/2.48 271. (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))) ((e0) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e1)) ((op (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 (e0) (e3)) != (e0))) \/ ((((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) \/ ((((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) \/ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))) ### And 270 % 2.24/2.48 272. ((((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 (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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) (e3)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((e2) != (e3)) ### DisjTree 190 271 48 148 % 2.24/2.48 273. (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))) ((e2) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((((op (e0) (e0)) = (e2)) /\ ((op (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)))))) ### And 272 % 2.24/2.48 274. (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ### And 246 % 2.24/2.48 275. ((((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)))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((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 (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((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)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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 (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e1)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ### DisjTree 150 152 273 274 % 2.24/2.48 276. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((((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)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e2) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 76 80 99 275 % 2.24/2.48 277. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.48 278. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.48 279. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 2.24/2.48 280. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 277 278 279 % 2.24/2.48 281. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.48 282. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.48 283. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 2.24/2.48 284. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e0)) ### TransEq-sym 281 282 283 % 2.24/2.48 285. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 2.24/2.48 286. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 2.24/2.48 287. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 2.24/2.48 288. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 285 286 287 % 2.24/2.48 289. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 2.24/2.48 290. ((op (e3) (op (e3) (e3))) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ### NotEqual 5 289 % 2.24/2.48 291. ((e0) != (op (e3) (op (e3) (e3)))) ((op (e3) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) ### Trans-sym 290 87 % 2.24/2.48 292. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 2.24/2.48 293. ((op (op (e3) (e3)) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e2)) ### NotEqual 292 5 % 2.24/2.48 294. ((e1) != (op (op (e3) (e3)) (e3))) ((op (e2) (e3)) = (e1)) ((op (e3) (e3)) = (e2)) ### Trans-sym 293 70 % 2.24/2.48 295. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 2.24/2.48 296. (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e2) (e3)) = (e1)) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) = (e0)) ### DisjTree 291 294 295 % 2.24/2.48 297. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 2.24/2.48 298. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.48 299. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.48 300. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 2.24/2.48 301. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq 298 299 300 % 2.24/2.48 302. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) ((op (e3) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 288 296 297 301 % 2.24/2.48 303. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 76 280 284 302 % 2.24/2.48 304. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.48 305. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.48 306. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 2.24/2.48 307. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 304 305 306 % 2.24/2.48 308. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 2.24/2.48 309. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.48 310. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.48 311. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 2.24/2.48 312. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq-sym 309 310 311 % 2.24/2.48 313. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 2.24/2.48 314. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 193 308 312 313 % 2.24/2.48 315. (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) ((e0) != (e3)) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### And 314 % 2.24/2.48 316. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 2.24/2.48 317. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 2.24/2.48 318. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 2.24/2.48 319. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 2.24/2.48 320. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 317 318 319 % 2.24/2.48 321. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 2.24/2.48 322. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.48 323. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.48 324. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 2.24/2.48 325. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 322 323 324 % 2.24/2.48 326. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.48 327. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.48 328. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 2.24/2.48 329. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq 326 327 328 % 2.24/2.48 330. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 320 321 325 329 % 2.24/2.48 331. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 71 316 312 330 % 2.24/2.48 332. (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### And 331 % 2.24/2.48 333. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 2.24/2.48 334. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 2.24/2.48 335. ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 333 334 87 % 2.24/2.48 336. (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ### And 335 % 2.24/2.48 337. ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) ((e0) != (e3)) ### DisjTree 315 332 336 39 % 2.24/2.48 338. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 303 307 337 288 % 2.24/2.48 339. ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((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) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((((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)))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((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)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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 (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 71 72 276 338 % 2.24/2.48 340. (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e2) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((((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)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e2) (e3))) ### And 339 % 2.24/2.48 341. ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((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) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((((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)))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((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)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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 (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 63 67 340 39 % 2.24/2.48 342. (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e2) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((((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)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e2) (e3))) ### And 341 % 2.24/2.48 343. ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((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) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((((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)))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((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)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) ((e2) != (e3)) ### DisjTree 41 46 48 342 % 2.24/2.48 344. (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((((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)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (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) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e2) (e3))) ### And 343 % 2.24/2.48 345. ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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 (e2) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ### DisjTree 7 67 188 39 % 2.24/2.48 346. (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))) ((e2) != (e3)) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) \/ ((((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) \/ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))) ### And 345 % 2.24/2.48 347. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 2.24/2.48 348. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 2.24/2.48 349. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 2.24/2.48 350. ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 348 349 87 % 2.24/2.48 351. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 2.24/2.48 352. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 2.24/2.48 353. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 2.24/2.48 354. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=) % 2.24/2.48 355. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) = (e1)) ### TransEq 352 353 354 % 2.24/2.48 356. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ### DisjTree 351 355 57 61 % 2.24/2.48 357. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ### DisjTree 347 350 162 356 % 2.24/2.48 358. (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### And 357 % 2.24/2.48 359. ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ### DisjTree 358 67 188 39 % 2.24/2.48 360. (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e3)) ((e1) != (e3)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) \/ ((((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) \/ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))) ### And 359 % 2.24/2.48 361. ((((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ((e0) != (e2)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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 (e2) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((e2) != (e3)) ### DisjTree 346 46 48 360 % 2.24/2.48 362. (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))) ((e2) != (e3)) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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) != (e2)) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((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)))))) ### And 361 % 2.24/2.48 363. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 2.24/2.48 364. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 2.24/2.48 365. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 2.24/2.48 366. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 2.24/2.48 367. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=) % 2.24/2.48 368. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq 365 366 367 % 2.24/2.48 369. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 364 368 31 35 % 2.24/2.48 370. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.48 371. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.48 372. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=) % 2.24/2.48 373. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) = (e1)) ### TransEq-sym 370 371 372 % 2.24/2.48 374. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ### DisjTree 363 350 369 373 % 2.24/2.48 375. (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### And 374 % 2.24/2.48 376. ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ### DisjTree 7 67 375 39 % 2.24/2.48 377. (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))) ((e2) != (e3)) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) (((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)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) \/ ((((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) \/ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))) ### And 376 % 2.24/2.48 378. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 2.24/2.48 379. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 2.24/2.48 380. ((e1) != (e2)) ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) = (e2)) ### TransEq-sym 378 379 70 % 2.24/2.48 381. (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ### And 380 % 2.24/2.48 382. ((((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)) ((e0) != (e2)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((e2) != (e3)) ### DisjTree 377 46 48 381 % 2.24/2.48 383. (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))) ((e2) != (e3)) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) (((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)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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) != (e2)) ((e1) != (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)))))) ### And 382 % 2.24/2.48 384. ((op (e1) (e0)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((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) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((((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)))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((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)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((e2) != (e3)) ### DisjTree 344 152 362 383 % 2.24/2.48 385. (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((((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)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (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) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e2) (e3))) ### And 384 % 2.24/2.48 386. ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ### DisjTree 7 22 336 39 % 2.24/2.48 387. (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))) ((e2) != (e3)) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) \/ ((((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) \/ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))) ### And 386 % 2.24/2.48 388. ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) ((op (e2) (e2)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 121 125 336 39 % 2.24/2.48 389. (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) \/ ((((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) \/ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))) ### And 388 % 2.24/2.48 390. (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) \/ ((((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) \/ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))) ### And 337 % 2.24/2.48 391. ((((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) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) ((e2) != (e3)) ### DisjTree 387 389 48 390 % 2.24/2.48 392. (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((((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)))))) ### And 391 % 2.24/2.48 393. (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ### And 228 % 2.24/2.48 394. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 2.24/2.48 395. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 2.24/2.48 396. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=) % 2.24/2.48 397. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 394 395 396 % 2.24/2.48 398. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 2.24/2.48 399. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 2.24/2.48 400. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 2.24/2.48 401. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 398 399 400 % 2.24/2.48 402. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.48 403. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 2.24/2.48 404. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 2.24/2.48 405. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq-sym 402 403 404 % 2.24/2.48 406. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 2.24/2.48 407. ((op (e1) (op (e1) (e1))) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) ### NotEqual 70 406 % 2.24/2.48 408. ((e0) != (op (e1) (op (e1) (e1)))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### Trans-sym 407 87 % 2.24/2.48 409. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 2.24/2.48 410. ((op (op (e1) (e1)) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e3)) ### NotEqual 409 70 % 2.24/2.48 411. ((e2) != (op (op (e1) (e1)) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 410 44 % 2.24/2.48 412. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 2.24/2.48 413. (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e0)) ### DisjTree 408 411 412 % 2.24/2.48 414. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 2.24/2.48 415. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ### DisjTree 401 405 413 414 % 2.24/2.48 416. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.48 417. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.48 418. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 2.24/2.48 419. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 416 417 418 % 2.24/2.48 420. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))) \/ ((((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))) \/ ((((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))) \/ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3)))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 397 415 419 275 % 2.24/2.48 421. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 2.24/2.48 422. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.48 423. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 2.24/2.48 424. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 2.24/2.48 425. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq-sym 422 423 424 % 2.24/2.48 426. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 2.24/2.48 427. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 2.24/2.48 428. ((op (e3) (op (e3) (e3))) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ### NotEqual 5 427 % 2.24/2.48 429. ((e0) != (op (e3) (op (e3) (e3)))) ((op (e3) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) ### Trans-sym 428 87 % 2.24/2.48 430. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 2.24/2.48 431. ((op (op (e3) (e3)) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e1)) ### NotEqual 430 5 % 2.24/2.48 432. ((e2) != (op (op (e3) (e3)) (e3))) ((op (e1) (e3)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans-sym 431 44 % 2.24/2.48 433. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 2.24/2.48 434. (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e3)) = (e2)) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) = (e0)) ### DisjTree 429 432 433 % 2.24/2.48 435. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e3)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 320 426 434 329 % 2.24/2.48 436. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 397 66 425 435 % 2.24/2.48 437. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e3)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((((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)))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((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 (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((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)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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 (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e1)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 102 420 421 436 % 2.24/2.48 438. (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))) \/ ((((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))) \/ ((((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))) \/ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3)))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### And 437 % 2.24/2.48 439. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((((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)))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((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 (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((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)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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 (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ### DisjTree 7 438 336 39 % 2.24/2.49 440. (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))) ((e2) != (e3)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))) \/ ((((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))) \/ ((((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))) \/ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3)))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### And 439 % 2.24/2.49 441. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.49 442. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 2.24/2.49 443. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 2.24/2.49 444. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 441 442 443 % 2.24/2.49 445. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 2.24/2.49 446. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ### DisjTree 401 405 444 445 % 2.24/2.49 447. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 2.24/2.49 448. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 193 446 312 447 % 2.24/2.49 449. (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### And 448 % 2.24/2.49 450. ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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 (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ### DisjTree 449 125 336 39 % 2.24/2.49 451. (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))) \/ ((((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))) \/ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))) ### And 450 % 2.24/2.49 452. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((((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)))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((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 (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((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)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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 (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e2) != (e3)) ### DisjTree 440 451 48 381 % 2.24/2.49 453. (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))) ((e2) != (e3)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))) \/ ((((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))) \/ ((((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))) \/ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3)))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ### And 452 % 2.24/2.49 454. ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((((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)))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((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 (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((e2) != (e3)) ### DisjTree 392 152 393 453 % 2.24/2.49 455. (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e3)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((((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)))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))) \/ ((((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))) \/ ((((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))) \/ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ### And 454 % 2.24/2.49 456. (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))) ((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 (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((((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)))))) ### And 275 % 2.24/2.49 457. ((((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))) \/ ((((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))) \/ ((((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))) \/ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((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) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((((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)))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((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)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((e2) != (e3)) ### DisjTree 2 385 455 456 % 2.24/2.49 458. (((((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)) != (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)) = (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)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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 (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (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) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ### ConjTree 457 % 2.24/2.49 459. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((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) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (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 (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((((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)) != (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)) = (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)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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 458 % 2.24/2.49 460. (((op (e0) (e0)) != (op (e1) (e0))) /\ (((op (e0) (e0)) != (op (e2) (e0))) /\ (((op (e0) (e0)) != (op (e3) (e0))) /\ (((op (e1) (e0)) != (op (e2) (e0))) /\ (((op (e1) (e0)) != (op (e3) (e0))) /\ (((op (e2) (e0)) != (op (e3) (e0))) /\ (((op (e0) (e1)) != (op (e1) (e1))) /\ (((op (e0) (e1)) != (op (e2) (e1))) /\ (((op (e0) (e1)) != (op (e3) (e1))) /\ (((op (e1) (e1)) != (op (e2) (e1))) /\ (((op (e1) (e1)) != (op (e3) (e1))) /\ (((op (e2) (e1)) != (op (e3) (e1))) /\ (((op (e0) (e2)) != (op (e1) (e2))) /\ (((op (e0) (e2)) != (op (e2) (e2))) /\ (((op (e0) (e2)) != (op (e3) (e2))) /\ (((op (e1) (e2)) != (op (e2) (e2))) /\ (((op (e1) (e2)) != (op (e3) (e2))) /\ (((op (e2) (e2)) != (op (e3) (e2))) /\ (((op (e0) (e3)) != (op (e1) (e3))) /\ (((op (e0) (e3)) != (op (e2) (e3))) /\ (((op (e0) (e3)) != (op (e3) (e3))) /\ (((op (e1) (e3)) != (op (e2) (e3))) /\ (((op (e1) (e3)) != (op (e3) (e3))) /\ (((op (e2) (e3)) != (op (e3) (e3))) /\ (((op (e0) (e0)) != (op (e0) (e1))) /\ (((op (e0) (e0)) != (op (e0) (e2))) /\ (((op (e0) (e0)) != (op (e0) (e3))) /\ (((op (e0) (e1)) != (op (e0) (e2))) /\ (((op (e0) (e1)) != (op (e0) (e3))) /\ (((op (e0) (e2)) != (op (e0) (e3))) /\ (((op (e1) (e0)) != (op (e1) (e1))) /\ (((op (e1) (e0)) != (op (e1) (e2))) /\ (((op (e1) (e0)) != (op (e1) (e3))) /\ (((op (e1) (e1)) != (op (e1) (e2))) /\ (((op (e1) (e1)) != (op (e1) (e3))) /\ (((op (e1) (e2)) != (op (e1) (e3))) /\ (((op (e2) (e0)) != (op (e2) (e1))) /\ (((op (e2) (e0)) != (op (e2) (e2))) /\ (((op (e2) (e0)) != (op (e2) (e3))) /\ (((op (e2) (e1)) != (op (e2) (e2))) /\ (((op (e2) (e1)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ ((op (e3) (e2)) != (op (e3) (e3)))))))))))))))))))))))))))))))))))))))))))))))))) (((((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)) != (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)) = (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)) = (e3)) /\ ((op (e0) (e3)) != (e0))) \/ ((((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)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (e3)) (e3))) /\ ((e1) = (op (e3) (e3)))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ### ConjTree 459 % 2.24/2.49 461. 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(((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (op (e2) (e2)) (e2))) /\ ((e1) = (op (e2) (e2)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (op (e1) (e1)) (e1))) /\ ((e2) = (op (e1) (e1)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (e2)) (e2))) /\ ((e3) = (op (e2) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (op (e3) (e3)) (e3))) /\ ((e2) = (op (e3) (e3)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (op (e1) (e1)) (e1))) /\ ((e3) = (op (e1) (e1)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (op (e3) (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 461 % 2.24/2.49 % SZS output end Proof % 2.24/2.49 (* END-PROOF *) %------------------------------------------------------------------------------